Question

Number 11 instructions are to simplify

Answer 1

a/(a-4)

Explanation:

Simplifying generally means expressing the rational function over a common denominator. Factoring the second term can help us see what that common denominator should be.

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`(3a)/(a+4)-(2a^2-16a)/(a^2-16)=(3a(a-4))/((a-4)(a+4))-(2a(a-8))/((a-4)(a+4))\\\\=(a(3(a-4)-2(a-8)))/((a-4)(a+4))=(a(3a-12-2a+16))/((a-4)(a+4))\\\\=(a(a+4))/((a-4)(a+4))=\boxed{(a)/(a-4)}`