Question

Find the product of (x-7) squared.

Answer 1

Given the following expression:

`(x-7)^2`

You need to remember that, by definition:

`\begin{gathered} (a+b)^2=a^2+2ab+b^2 \\ (a-b)^2=a^2-2ab+b^2 \end{gathered}`

In this case, you can identify that:

`\begin{gathered} a=x \\ b=7 \end{gathered}`

Then, substituting values and evaluating, you get the following:

`\begin{gathered} (x-7)^2=x^2-2(x)(7)+(7)^2=x^2-14x+49 \\ \\ \end{gathered}`

The answer is:

`x^2-14x+49`