How do you factor #h^3-100h#?

1 Answer
Aug 22, 2017

Answer:

#h(h-10)(h+10)#

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)#