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Use the Binomial Theorem to Expand and Simplify the Expression (r+5s)6( r + 5 s ) ^ { 6 }

Question 13

Multiple Choice

Use the Binomial Theorem to expand and simplify the expression.​ (r+5s) 6( r + 5 s ) ^ { 6 }


A) r6+30sr5+375s2r4+2500s3r3+9375s4r2+18750s5r15625s6r ^ { 6 } + 30 s r ^ { 5 } + 375 s ^ { 2 } r ^ { 4 } + 2500 s ^ { 3 } r ^ { 3 } + 9375 s ^ { 4 } r ^ { 2 } + 18750 s ^ { 5 } r - 15625 s ^ { 6 }
B) r630sr5+375s2r4+2500s3r3+9375s4r2+18750s5r+15625s6r ^ { 6 } - 30 s r ^ { 5 } + 375 s ^ { 2 } r ^ { 4 } + 2500 s ^ { 3 } r ^ { 3 } + 9375 s ^ { 4 } r ^ { 2 } + 18750 s ^ { 5 } r + 15625 s ^ { 6 }
C) r6+30sr5+375s2r42500s3r3+9375s4r2+18750s5r+15625s6r ^ { 6 } + 30 s r ^ { 5 } + 375 s ^ { 2 } r ^ { 4 } - 2500 s ^ { 3 } r ^ { 3 } + 9375 s ^ { 4 } r ^ { 2 } + 18750 s ^ { 5 } r + 15625 s ^ { 6 }
D) r630sr5375s2r42500s3r39375s4r218750s5r15625s6r ^ { 6 } - 30 s r ^ { 5 } - 375 s ^ { 2 } r ^ { 4 } - 2500 s ^ { 3 } r ^ { 3 } - 9375 s ^ { 4 } r ^ { 2 } - 18750 s ^ { 5 } r - 15625 s ^ { 6 }
E) r6+30sr5+375s2r4+2500s3r3+9375s4r2+18750s5r+15625s6r ^ { 6 } + 30 s r ^ { 5 } + 375 s ^ { 2 } r ^ { 4 } + 2500 s ^ { 3 } r ^ { 3 } + 9375 s ^ { 4 } r ^ { 2 } + 18750 s ^ { 5 } r + 15625 s ^ { 6 }

Correct Answer:

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