Question

Select the expression that is equivalent to (x-7)^2

Answer 1

x^2 - 14x + 49

Explanation:

Lets simplify the expression first to find an expression equivalent too it.

`(x-7)^2`

We can represent this expression as two binomials being multiplied by each other because we are bringing it to the power of 2.

`(x-7)(x-7)`

Now use the FOIL method to solve.

Start with first terms:

`x^2`

Then do outer terms:

`x^2 +7x`

Inner terms:

`x^2-7x-7x`

Last terms:

`x^2-7x-7x+49`

Combine like terms

`x^2-14x+49`