# How do you factor by grouping #64p^2-100m^2#?

##### 1 Answer

Apr 24, 2018

#### Explanation:

#"take out a "color(blue)"common factor "4#

#=4(16p^2-25m^2)#

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

#"which factors in general as"#

#•color(white)(x)a^2-b^2=(a-b)(a+b)#

#16p^2=(4p)^2" and "25m^2=(5m)^2#

#"here "a=4p" and "b=5m#

#rArr16p^2-25m^2=(4p-5m)(4p+5m)#

#rArr64p^2-100m^2=4(4p-5m(4p+5m)#

#"note factoring by grouping is not the approach here"#