Question

Without using Desmos what is the complete factorization of 5x^2-20? Please show work , please help

Answer 1

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

Explanation:

Find the greatest common factor (GCF) of the 2 terms:

GCF is 5.

Factor out the GCF:

`5x^2-20\\5((5x^2)/(5) -(20)/(5) )\\5(x^2-4)`

Rewrite as a difference of squares (
`a^2-b^2=(a+b)(a-b)`):

`5(x^2-2^2)\\5(x+2)(x-2)`