Question

How do you multiply `(x - 5)(x + 2)`?

Answer 1

`(x-5)(x+2)=color(blue)(x^2-3x-10)`

Explanation:

Use the FOIL method. Multiply the terms in the two binomials according to the diagram below.

`(x-5)(x+2)=(x*x)+(x*2)+(-5*x)+(-5*2)`

Simplify.

`(x-5)(x+2)=x^2+2x-5x-10`

Simplify.

`(x-5)(x+2)=x^2-3x-10`