Question

Bring the fraction a/a−4 to a denominator of 16−a^2

really do appreciate this thx

Answer 1

-a(a+4)/(16 - a²)

Explanation:

a/(a - 4) Multiply by (a + 4)/(a + 4)

= a(a + 4)/[(a – 4)(a + 4)] Multiply the denominatorator terms

= a(a + 4)/(a² - 16) Multiply by -1/(-1)

= -a(a+4)/(-a² + 16) Reorder terms in denominator

= -a(a+4)/(16 - a²)