Divide and simplify.
-$\frac{a^{2}+3 a-28}{a^{2}-14 a+49} \div \frac{a^{2}-8 a+16}{a^{2}+6 a-7}$
A) $-\frac{a-1}{a-4}$
B) $\frac{(a+7)^{2}(a-1)}{(a-7)^{2}(a-4)}$
C) $\frac{(a+7)^{2}(a-1)}{(a-7)^{2}}$
D) $\frac{(a-4)^{3}}{(a-7)^{2}(a-1)}$

Question

Quizplus · Accepted Answer

First, factor all polynomials: $\frac{(a+7)(a-4)}{(a-7)^2} \div \frac{(a-4)^2}{(a+7)(a-1)}$. Then, change the division to multiplication by flipping the second fraction: $\frac{(a+7)(a-4)}{(a-7)^2} \times \frac{(a+7)(a-1)}{(a-4)^2}$. Simplify to get $\frac{(a+7)^2(a-1)}{(a-7)^2(a-4)}$.

Divide and Simplify a2+3a−28a2−14a+49÷a2−8a+16a2+6a−7\frac{a^{2}+3 a-28}{a^{2}-14 a+49} \div \frac{a^{2}-8 a+16}{a^{2}+6 a-7}a2−14a+49a2+3a−28​÷a2+6a−7a2−8a+16​ A) −a−1a−4-\frac{a-1}{a-4}−a−4a−1​

Divide and Simplify $\frac{a^{2}+3 a-28}{a^{2}-14 a+49} \div \frac{a^{2}-8 a+16}{a^{2}+6 a-7}$ A) $-\frac{a-1}{a-4}$