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"#
