Question

Match each rational expression with an equivalent rational expression. The rational expressions are (x^2-64)/ (x-8) ^2 and (x+2)/ (x^2+4x+4) and the equivalent rational expressions are (x+8)/ (x-8) and 1/ (x+2)

Answer 1

(x^2 − 64)/(x − 8)^2 = [(x − 8)(x + 8)]/(x − 8)^2 = (x + 8)/(x − 8) (x ≠ 8)

(x + 2)/(x^2 + 4x + 4) = (x + 2)/(x + 2)^2 = 1/(x + 2) (x ≠ −2)