# How do you factor #16r^2 - 25a^2 #?

##### 2 Answers

Apr 25, 2018

#### Explanation:

Remember:

Using

using

we get

Apr 25, 2018

#### Explanation:

#16r^2-25a^2" is a "color(blue)"difference of squares"#

#"which factors in general as"#

#â€¢color(white)(x)a^2-b^2=(a-b)(a+b)#

#"here "16r^2=(4r)^2" and "25a^2=(5a)^2#

#rArra=4r" and "b=5a#

#rArr16r^2-25a^2=(4r-5a)(4r+5a)#