## Intermediate Algebra for College Students (7th Edition)

$2x+1$; $x^2-14x+49$
Square both sides of the equation to obtain: $\sqrt{2x+1}^2 = (x-7)^2 \\2x+1 = (x-7)^2$ Use the formula $(a-b)^2 = a^2-2ab+b^2$ where $a =x$ and $b=7$ to obtain: $2x+1=x^2-2(x)(7) + 7^2 \\2x+1 = x^2 - 14x + 49$ Thus, the missing expressions in the given statements are $2x+1$ and $x^2-14x+49$, respectively.