Expand the Binomial by Using Pascal's Triangle to Determine the Coefficients.Show

Question

Examlex · Accepted Answer

The Answer is $\begin{array} { l } ( 3 x - 2 y ) ^ { 6 } = ( 1 ) ( 3 x ) ^ { 6 } + ( 6 ) ( 3 x ) ^ { 5 } ( - 2 y ) + ( 15 ) ( 3 x ) ^ { 4 } ( - 2 y ) ^ { 2 } + ( 20 ) ( 3 x ) ^ { 3 } ( - 2 y ) ^ { 3 } + \ ( 15 ) ( 3 x ) ^ { 2 } ( - 2 y ) ^ { 4 } + ( 6 ) ( 3 x ) ( - 2 y ) ^ { 5 } + ( - 2 y ) ^ { 6 } \ = 729 x ^ { 6 } - 2916 x ^ { 5 } y + 4860 x ^ { 4 } y ^ { 2 } - 4320 x ^ { 3 } y ^ { 3 } + 2160 x ^ { 2 } y ^ { 4 } - 576 x y ^ { 5 } + 64 y ^ { 6 } \end{array}$

\begin{array} { l } ( 3 x - 2 y ) ^ { 6 } = ( 1 ) ( 3 x ) ^ { 6 } + ( 6 ) ( 3 x ) ^ { 5 } ( - 2 y ) + ( 15 ) ( 3 x ) ^ { 4 } ( - 2 y ) ^ { 2 } + ( 20 ) ( 3 x ) ^ { 3 } ( - 2 y ) ^ { 3 } + \( 15 ) ( 3 x ) ^ { 2 } ( - 2 y ) ^ { 4 } + ( 6 ) ( 3 x ) ( - 2 y ) ^ { 5 } + ( - 2 y ) ^ { 6 } \= 729 x ^ { 6 } - 2916 x ^ { 5 } y + 4860 x ^ { 4 } y ^ { 2 } - 4320 x ^ { 3 } y ^ { 3 } + 2160 x ^ { 2 } y ^ { 4 } - 576 x y ^ { 5 } + 64 y ^ { 6 }\end{array}

Expand the Binomial by Using Pascal's Triangle to Determine the Coefficients.Show

Essay

Correct Answer:
Verified

Expand the Binomial by Using Pascal's Triangle to Determine the Coefficients.Show

Essay

Correct Answer:VerifiedShow Answer

Correct Answer:
Verified