Simplify the product. $- 3 x ^ { 2 } c ^ { 5 } \left( - 2 c ^ { 2 } x ^ { 5 } \right)$
A) $6 x ^ { 7 } c ^ { 7 }$
B) $- 6 x ^ { 5 } c ^ { 7 }$
C) $2 x ^ { 7 } c ^ { 7 }$
D) $3 x ^ { 7 } c ^ { 2 }$
E) none of these

Question

Quizplus · Accepted Answer

When multiplying two algebraic expressions, you multiply the coefficients together and add the exponents of like bases. Here, $-3$ and $-2$ multiply to $6$, $x^2$ and $x^5$ combine to $x^{2+5} = x^7$, and $c^5$ and $c^2$ combine to $c^{5+2} = c^7$, resulting in $6x^7c^7$.

Simplify the Product −3x2c5(−2c2x5)- 3 x ^ { 2 } c ^ { 5 } \left( - 2 c ^ { 2 } x ^ { 5 } \right)−3x2c5(−2c2x5)

Simplify the Product $- 3 x ^ { 2 } c ^ { 5 } \left( - 2 c ^ { 2 } x ^ { 5 } \right)$