Question

Help me please this is due tonight!

Here is a photo of the problem. I’m a little blank on my math tonight, any help is appreciated!

Answer 1

9514 1404 393

Answer:

A

Explanation:

The applicable rules of exponents are ...

(a^b)(a^c) = a^(b+c)

(ab)^c = (a^c)(b^c)

(a^b)^c = a^(bc)

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Using these rules, along with the distributive property, we can simplify the given expression.

`\displaystyle 9a^3b^6(3a^3b^2+7a^2b^2)-(5a^4b^4)^2\\\\=\displaystyle 9a^3b^6(3a^3b^2+7a^2b^2)-(5^2a^(4\cdot2)b^(4\cdot2))\\\\=(9)(3)a^(3+3)b^(6+2)+(9)(7)a^(3+2)b^(6+2)-25a^8b^8=27a^6b^8+63a^5b^8-25a^8b^8\\\\=\boxed{-25a^8b^8+27a^6b^8+63a^5b^8}\qquad\text{matches A}`