Question

Simplify the product using FOIL. (2x – 7)(5x 5)

Answer 1

10x squared - 25x squared + 10x

Answer 2

`10x^2-25x-35`

Explanation:

The FOIL method is used to multiply two binomials.

FOIL stand for:

First : Multiply the first term in each set of parenthesis.

Outer : Multiply the outer term in each set of parenthesis.

Inner : Multiply the inner term in each set of parenthesis.

Last: Multiply the last term in each set of parenthesis.

Given that:

`(2x-7)(5x+5)`

Using the foil method:

`2x(5x+5)-7(5x+5)` [Using distributive property]

⇒
`10x^2+10x -(35x+35)`

⇒
`10x^2+10x -35x-35`

Combine like terms:

⇒
`10x^2-25x-35`

Therefore, the product of (2x – 7)(5x+5) using FOIL method is,
`10x^2-25x-35`