Question

Consider the expression: 9a³b® (3aº b2 + 7a²b2) – (5a464)2. Select the equivalent expression in standard form:

Answer 1

Answer:

Option A

Explanation:

Given the expression:

$9a^3b^6\mleft(3a^3b^2+7a^2b^2\mright)-\mleft(5a^4b^4\mright)^2$

First, distribute the bracket:

$\begin{gathered} 9a^3b^6\mleft(3a^3b^2)+9a^3b^6(7a^2b^2\mright)-\mleft(5a^4b^4\mright)^2 \\ =27a^6b^8+63a^5b^8-25a^8b^8 \\ =-25a^8b^8+27a^6b^8+63a^5b^8 \end{gathered}$

The correct choice is A.