Question

What is (1-7x)(1+9x)

Answer 1

1+2x-63x^2

Explanation:

factor 1(1+9x)=1+9X

-7x(1+9x)=-7x-63x^2

add 1+9x-7x-63x2

Answer 2

`(1-7x)(1+9x) =- 63 {x}^(2) + 2x + 1`

EXPLANATION

The given product is (1-7x)(1+9x).

Expand using the distributive property.

`(1-7x)(1+9x) = 1(1 + 9x) - 7x(1 + 9x)`

`(1-7x)(1+9x) = 1 + 9x - 7x - 63 {x}^(2)`

Simplify to obtain:

`(1-7x)(1+9x) = 1 + 2x - 63 {x}^(2)`

You can rewrite in standard form to get,

`(1-7x)(1+9x) =- 63 {x}^(2) + 2x + 1`