How do you factor #h^3-100h#?
1 Answer
Aug 22, 2017
Explanation:
#"both terms have a "color(blue)"common factor"" of " color(blue)(h)#
#"which can be taken out"#
#rArrh(h^2-100)#
#h^2-100" is a "color(blue)"difference of squares"# which factors in general as.
#•color(white)(x)a^2-b^2=(a-b)(a+b)#
#"here "a=h" and "b=10#
#rArrh^2-100=(h-10)(h+10)#
#rArrh^3-100h=h(h-10)(h+10)#
