Question

How do you simplify the product `(5x - 2)(x + 3)` and write it in standard form?

Answer 1

`(5x-2)(x+3)=color(blue)(5x^2+13x-6)`

Explanation:

Use the FOIL method for multiplying binomials.

`(5x-2)(x+3)=overbrace(5x*x)^"first"+overbrace(5x*3)^"outer"+overbrace(-2*x)^"inner"+overbrace(-2*3)^"last"`

Simplify..

`(5x-2)(x+3)=5x^2+15x-2x-6`

Combine like terms.

`(5x-2)(x+3)=5x^2+13x-6`