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

1 Answer
Apr 24, 2018

4(4p-5m)(4p+5m)

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"