Question

How do you multiply `(x-5)^2`?

Answer 1

`x^2-10x+25`

Explanation:

We got: `(x-5)^2`

A fundamental rule in algebra is that `(a-b)^2=a^2-2ab+b^2`, and `(a+b)^2=a^2+2ab+b^2`.

But since we have a minus sign, we use the former one.

So, we plug in `a=x,b=5`, and we get:

`x^2-2*x*5+5^2`

`=x^2-10x+25`