Question

Simplify with foil (w + x )(w + x )

Answer 1

Foil is an acronym that stands for:

First

Outside

Inside

Last

First:

(w + x )(w + x ) =
`w^(2)`

Outside:

(w + x )(w + x ) = wx

Inside:

(w + x )(w + x ) = wx

Last:

(w + x )(w + x ) =
`x^(2)`

so...

`w^(2)` + wx + wx +
`x^(2)`

`w^(2) +x^(2) + 2xw`

Hope this helped!

Answer 2

Answer:
`x^2+2wx+w^2`

Explanation:

Given the expression
`(w + x )(w + x )` , which indicates the multiplication of two binomials, you can simplify it with FOIL:

Multiply:

The first terms (w by w).

The outside terms (w by x).

The inside terms together (x by w).

The last terms together (x by x).

Then, you get:

`(w + x )(w + x )=(w)(w)+(w)(x)+(x)(w)+(x)(x)=w^2+wx+wx+x^2`

Adding like terms, you get:

`x^2+2wx+w^2`