Find the product. Simplify your answer. a/a^2-16 × a+4/a^2

Question

asked Jan 2, 2020 215k views

1 Answer

Derek · Answer 1 · 2020-01-08T07:20:07+0000

Answer:

(1)/(a(a-4))

Explanation:

Factor the denominator of the first fraction

a² - 16 ← is a difference of squares and factors as

a² - 16 = (a - 4)(a + 4), thus fraction becomes

(a)/((a-4)(a+4)) ×
(a+4)/(a^2)

Cancel the factor (a + 4) on numerator/denominator and the a and a², leaving

(1)/(a(a-4))