\[5{x}^{2}-80\]

Choose Topic

Examples

Find the Greatest Common Factor (GCF).

What is the largest number that divides evenly into

5{x}^{2}

and

-80

It is

5

What is the highest degree of $x$ that divides evenly into

5{x}^{2}

and

-80

It is 1, since

x

is not in every term.

Multiplying the results above,

The GCF is

5

To get access to all 'How?' and 'Why?' steps, join Cymath Plus!

GCF =

5

Factor out the GCF. (Write the GCF first. Then, in parentheses, divide each term by the GCF.)

5(\frac{5{x}^{2}}{5}-\frac{80}{5})

Simplify each term in parentheses.

5({x}^{2}-16)

Rewrite

{x}^{2}-16

in the form

{a}^{2}-{b}^{2}

, where

a=x

and

b=4

5({x}^{2}-{4}^{2})

Use Difference of Squares:

{a}^{2}-{b}^{2}=(a+b)(a-b)

5(x+4)(x-4)

Done

Like this solution? Share it!