Question

Complete the following sentence to form a true statement. The expressions x2 - 14x + and (X - _)2 are equivalent. The e expressions x2 - 14x + [and (x-D) are equivalent (Simplify your answer. Type an integer or a fraction.)​

Answer 1

The expressions x2 - 14x + 49 and (x - 7)2 are equivalent.

(x + a)^2 = (x + a)(x + a) = x^2 + 2ax + a^2

In this case 2a = -14 so a= -7 and a^2 = 49