How do you factor h^3-100hh3−100h?
1 Answer
Aug 22, 2017
Explanation:
"both terms have a "color(blue)"common factor"" of " color(blue)(h)both terms have a common factor of h
"which can be taken out"which can be taken out
rArrh(h^2-100)⇒h(h2−100)
h^2-100" is a "color(blue)"difference of squares"h2−100 is a difference of squares which factors in general as.
•color(white)(x)a^2-b^2=(a-b)(a+b)∙xa2−b2=(a−b)(a+b)
"here "a=h" and "b=10here a=h and b=10
rArrh^2-100=(h-10)(h+10)⇒h2−100=(h−10)(h+10)
rArrh^3-100h=h(h-10)(h+10)⇒h3−100h=h(h−10)(h+10)
