Question

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

Answer 1

Answer:

$5(x+2)(x-2)$

Step-by-step explanation:

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

GCF is 5.

Factor out the GCF:

$5x^2-20\\5(\frac{5x^2}{5} -\frac{20}{5} )\\5(x^2-4)$

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

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