Question

Simplificando a expressão a² - 8a + 16
_____________
ab + 4a - 4b - 16 , obtém-se
a-4
A) ___
b-4

a-4
B) ___
b+4

a+2
C) ___
b-4

a-1
D) ___
b

E) n.d.a.

Answer 1

$Resolu\c{c}\~ao \to \left\{\begin{array}{ccc}\frac{a^2-8a+16}{ab+4a-4b-16} = \\\\\frac{(a-4)(a-4)}{a(b+4)-4(b+4)}=\\\\\frac{(a-4)(a-4)}{(b+4)(a-4)}=\\\\\boed{\boxed{\frac{a-4}{b+4}}}\\\\Letra\ B\end{array}\right$

Espero ter ajudado. =^.^=