Question 1

Simplify the expression. $\frac { t - 4 } { t ^ { 2 } - 16 } \cdot \frac { t + 4 } { t ^ { 2 } + 16 }$

Accepted Answer

The answer of Simplify the expression. \(\frac { t -...

Question 2

Factor the expression by grouping terms. $3 x ^ { 3 } + x ^ { 2 } - 15 x - 5$

Accepted Answer

A)  $\left( x ^ { 2 } - 5 \right) ( 2 x + 1 )$ 
B)  $\left( x ^ { 2 } - 6 \right) ( 3 x + 1 )$ 
C)  $\left( x ^ { 2 } - 6 \right) ( 2 x + 1 )$ 
D)  $\left( x ^ { 2 } + 5 \right) ( 3 x - 1 )$ 
E)  $\left( x ^ { 2 } - 5 \right) ( 3 x + 1 )$ 
A)  $\left( x ^ { 2 } - 5 \right) ( 2 x + 1 )$ 
B)  $\left( x ^ { 2 } - 6 \right) ( 3 x + 1 )$ 
C)  $\left( x ^ { 2 } - 6 \right) ( 2 x + 1 )$ 
D)  $\left( x ^ { 2 } + 5 \right) ( 3 x - 1 )$ 
E)  $\left( x ^ { 2 } - 5 \right) ( 3 x + 1 )$

Question 3

Evaluate the expression $| | - 11 | - | - 9 | |$ 
.

Accepted Answer

The answer of Evaluate the expression \(| | - 11...

Question 4

Perform the addition and simplify. $\frac { 2 y } { y ^ { 2 } - 1 } + \frac { 1 } { ( y - 1 ) }$

Accepted Answer

The answer of Perform the addition and simplify. \(\frac {...

Question 5

Factor the trinomial. $6 x ^ { 2 } + 13 x + 6$

Accepted Answer

A)  $( 2 x + 3 ) ( 3 x + 2 )$ 
B)  $( 2 x + 3 ) ^ { 2 }$ 
C)  $( 3 x + 2 ) ^ { 2 }$ 
D)  $( 3 x + 3 ) ^ { 2 }$ 
E)  $( x + 3 ) ( 6 x + 2 )$ 
A)  $( 2 x + 3 ) ( 3 x + 2 )$ 
B)  $( 2 x + 3 ) ^ { 2 }$ 
C)  $( 3 x + 2 ) ^ { 2 }$ 
D)  $( 3 x + 3 ) ^ { 2 }$ 
E)  $( x + 3 ) ( 6 x + 2 )$

Question 6

Express each set in interval notation.
 (a)

(b)

Accepted Answer

The answer of Express each set in interval notation.
 (a)
...

Question 7

Perform the indicated operation and simplify. $\left( x ^ { 2 } + x - 10 \right) \left( x ^ { 3 } - x + 7 \right)$

Accepted Answer

A)  $x ^ { 5 } + x ^ { 4 } - 11 x ^ { 3 } + 6 x ^ { 2 } + 17 x - 70$ 
B)  $x ^ { 5 } + x ^ { 4 } - x ^ { 3 } + 6 x ^ { 2 } - 17 x + 70$ 
C)  $x ^ { 5 } + x ^ { 4 } + 11 x ^ { 3 } - 6 x ^ { 2 } - x - 7$ 
D)  $x ^ { 5 } - x ^ { 4 } + 11 x ^ { 3 } - 6 x ^ { 2 } + 17 x - 70$ 
E)  $x ^ { 5 } - 6 x ^ { 4 } - 11 x ^ { 3 } + x ^ { 2 } - 17 x + 10$ 
A)  $x ^ { 5 } + x ^ { 4 } - 11 x ^ { 3 } + 6 x ^ { 2 } + 17 x - 70$ 
B)  $x ^ { 5 } + x ^ { 4 } - x ^ { 3 } + 6 x ^ { 2 } - 17 x + 70$ 
C)  $x ^ { 5 } + x ^ { 4 } + 11 x ^ { 3 } - 6 x ^ { 2 } - x - 7$ 
D)  $x ^ { 5 } - x ^ { 4 } + 11 x ^ { 3 } - 6 x ^ { 2 } + 17 x - 70$ 
E)  $x ^ { 5 } - 6 x ^ { 4 } - 11 x ^ { 3 } + x ^ { 2 } - 17 x + 10$

Question 8

Perform the indicated operations and simplify. $\left( 2 x ^ { 6 } + 3 y ^ { 4 } \right) ^ { 2 }$

Accepted Answer

The answer of Perform the indicated operations and simplify. \(\left(...

Question 9

Simplify the expression. Assume the letters denote any real numbers. $\sqrt { 36 a ^ { 6 } b ^ { 6 } }$

Accepted Answer

The answer of Simplify the expression. Assume the letters denote...

Question 10

Factor the trinomial. $6 x ^ { 2 } + 13 x + 6$

Accepted Answer

The answer of Factor the trinomial. \(6 x ^ {...

Question 11

Use a Factoring Formula to factor the expression. $64 s ^ { 3 } - 125 t ^ { 3 }$

Accepted Answer

The answer of Use a Factoring Formula to factor the...

Question 12

Use a Factoring Formula to factor the expression. $27 s ^ { 3 } - 125 t ^ { 3 }$

Accepted Answer

A)  $( 3 s - 5 t ) \left( 9 s ^ { 2 } + 15 s t + 25 t ^ { 2 } \right)$ 
B)  $( 3 s + 5 t ) \left( 9 s ^ { 2 } - 15 s t + 25 t ^ { 2 } \right)$ 
C)  $( 3 s - 5 t ) \left( 9 s ^ { 2 } + 16 s t + 25 t ^ { 2 } \right)$ 
D)  $( 3 s + 5 t ) \left( 9 s ^ { 2 } - 17 s t + 25 t ^ { 2 } \right)$ 
E)  $( 3 s - 5 t ) \left( 9 s ^ { 2 } + 17 s t + 25 t ^ { 2 } \right)$ 
A)  $( 3 s - 5 t ) \left( 9 s ^ { 2 } + 15 s t + 25 t ^ { 2 } \right)$ 
B)  $( 3 s + 5 t ) \left( 9 s ^ { 2 } - 15 s t + 25 t ^ { 2 } \right)$ 
C)  $( 3 s - 5 t ) \left( 9 s ^ { 2 } + 16 s t + 25 t ^ { 2 } \right)$ 
D)  $( 3 s + 5 t ) \left( 9 s ^ { 2 } - 17 s t + 25 t ^ { 2 } \right)$ 
E)  $( 3 s - 5 t ) \left( 9 s ^ { 2 } + 17 s t + 25 t ^ { 2 } \right)$

Question 13

Express each set in interval notation. 
(a)
 
(b)

Accepted Answer

The answer of Express each set in interval notation. 
(a)
...

Question 14

Perform the indicated operations and simplify. $3 ( 3 t - 5 ) - \left( t ^ { 2 } + 3 \right) - 5 t ( t - 2 )$

Accepted Answer

A)  $- 6 t ^ { 2 } + 14 t - 18$ 
B)  $- 9 t ^ { 2 } + 14 t - 26$ 
C)  $- 6 t ^ { 2 } - 19 t + 26$ 
D)  $- 6 t ^ { 2 } + 19 t + 18$ 
E)  $- 6 t ^ { 2 } + 19 t - 18$ 
A)  $- 6 t ^ { 2 } + 14 t - 18$ 
B)  $- 9 t ^ { 2 } + 14 t - 26$ 
C)  $- 6 t ^ { 2 } - 19 t + 26$ 
D)  $- 6 t ^ { 2 } + 19 t + 18$ 
E)  $- 6 t ^ { 2 } + 19 t - 18$

Question 15

Simplify the expression. Assume the letters denote any real numbers. $\sqrt [ 4 ] { x ^ { 4 } y ^ { 4 } }$

Accepted Answer

The answer of Simplify the expression. Assume the letters denote...

Simplify the expression. $\frac { t - 4 } { t ^ { 2 } - 16 } \cdot \frac { t + 4 } { t ^ { 2 } + 16 }$

Factor the expression by grouping terms. $3 x ^ { 3 } + x ^ { 2 } - 15 x - 5$

Evaluate the expression $| | - 11 | - | - 9 | |$ .

Perform the addition and simplify. $\frac { 2 y } { y ^ { 2 } - 1 } + \frac { 1 } { ( y - 1 ) }$

Factor the trinomial. $6 x ^ { 2 } + 13 x + 6$

Express each set in interval notation. (a) (b)

Perform the indicated operation and simplify. $\left( x ^ { 2 } + x - 10 \right) \left( x ^ { 3 } - x + 7 \right)$

Perform the indicated operations and simplify. $\left( 2 x ^ { 6 } + 3 y ^ { 4 } \right) ^ { 2 }$

Simplify the expression. Assume the letters denote any real numbers. $\sqrt { 36 a ^ { 6 } b ^ { 6 } }$

Factor the trinomial. $6 x ^ { 2 } + 13 x + 6$

Use a Factoring Formula to factor the expression. $64 s ^ { 3 } - 125 t ^ { 3 }$

Use a Factoring Formula to factor the expression. $27 s ^ { 3 } - 125 t ^ { 3 }$

Express each set in interval notation. (a) (b)

Perform the indicated operations and simplify. $3 ( 3 t - 5 ) - \left( t ^ { 2 } + 3 \right) - 5 t ( t - 2 )$

Simplify the expression. Assume the letters denote any real numbers. $\sqrt [ 4 ] { x ^ { 4 } y ^ { 4 } }$

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Exam 14: Counting and Probability

Simplify the expression. t−4t2−16⋅t+4t2+16\frac { t - 4 } { t ^ { 2 } - 16 } \cdot \frac { t + 4 } { t ^ { 2 } + 16 }t2−16t−4​⋅t2+16t+4​

Factor the expression by grouping terms. 3x3+x2−15x−53 x ^ { 3 } + x ^ { 2 } - 15 x - 53x3+x2−15x−5

Evaluate the expression ∣∣−11∣−∣−9∣∣| | - 11 | - | - 9 | |∣∣−11∣−∣−9∣∣ .

Perform the addition and simplify. 2yy2−1+1(y−1)\frac { 2 y } { y ^ { 2 } - 1 } + \frac { 1 } { ( y - 1 ) }y2−12y​+(y−1)1​

Factor the trinomial. 6x2+13x+66 x ^ { 2 } + 13 x + 66x2+13x+6

Express each set in interval notation. (a) (b)

Perform the indicated operation and simplify. (x2+x−10)(x3−x+7)\left( x ^ { 2 } + x - 10 \right) \left( x ^ { 3 } - x + 7 \right)(x2+x−10)(x3−x+7)

Perform the indicated operations and simplify. (2x6+3y4)2\left( 2 x ^ { 6 } + 3 y ^ { 4 } \right) ^ { 2 }(2x6+3y4)2

Simplify the expression. Assume the letters denote any real numbers. 36a6b6\sqrt { 36 a ^ { 6 } b ^ { 6 } }36a6b6​

Factor the trinomial. 6x2+13x+66 x ^ { 2 } + 13 x + 66x2+13x+6

Use a Factoring Formula to factor the expression. 64s3−125t364 s ^ { 3 } - 125 t ^ { 3 }64s3−125t3

Use a Factoring Formula to factor the expression. 27s3−125t327 s ^ { 3 } - 125 t ^ { 3 }27s3−125t3

Express each set in interval notation. (a) (b)

Perform the indicated operations and simplify. 3(3t−5)−(t2+3)−5t(t−2)3 ( 3 t - 5 ) - \left( t ^ { 2 } + 3 \right) - 5 t ( t - 2 )3(3t−5)−(t2+3)−5t(t−2)

Simplify the expression. Assume the letters denote any real numbers. x4y44\sqrt [ 4 ] { x ^ { 4 } y ^ { 4 } }4x4y4​

Equations and Graphs

Functions

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Trigonometric Functions: Right Triangle Approach

Trigonometric Functions: Unit Circle Approach

Conic Sections

Polar Coordinates and Parametric Equations

Vectors in Two and Three Dimensions

Systems of Equations and Inequalities

Matrices and Determinants

Conic Sections

Sequences and Series

Filters

Simplify the expression. $\frac { t - 4 } { t ^ { 2 } - 16 } \cdot \frac { t + 4 } { t ^ { 2 } + 16 }$

Factor the expression by grouping terms. $3 x ^ { 3 } + x ^ { 2 } - 15 x - 5$

Evaluate the expression $| | - 11 | - | - 9 | |$ .

Perform the addition and simplify. $\frac { 2 y } { y ^ { 2 } - 1 } + \frac { 1 } { ( y - 1 ) }$

Factor the trinomial. $6 x ^ { 2 } + 13 x + 6$

Perform the indicated operation and simplify. $\left( x ^ { 2 } + x - 10 \right) \left( x ^ { 3 } - x + 7 \right)$

Perform the indicated operations and simplify. $\left( 2 x ^ { 6 } + 3 y ^ { 4 } \right) ^ { 2 }$

Simplify the expression. Assume the letters denote any real numbers. $\sqrt { 36 a ^ { 6 } b ^ { 6 } }$

Factor the trinomial. $6 x ^ { 2 } + 13 x + 6$

Use a Factoring Formula to factor the expression. $64 s ^ { 3 } - 125 t ^ { 3 }$

Use a Factoring Formula to factor the expression. $27 s ^ { 3 } - 125 t ^ { 3 }$

Perform the indicated operations and simplify. $3 ( 3 t - 5 ) - \left( t ^ { 2 } + 3 \right) - 5 t ( t - 2 )$

Simplify the expression. Assume the letters denote any real numbers. $\sqrt [ 4 ] { x ^ { 4 } y ^ { 4 } }$