How do you factor #2p^3-162p#?
1 Answer
Explanation:
The first step is to take out the
#color(blue)"common factor"# of 2p
#rArr2p(p^2-81)tocolor(red)((1)#
#" the factor " (p^2-81)" is a " color(blue)"difference of squares"#
#"and factorises, in general as"#
#color(red)(bar(ul(|color(white)(2/2)color(black)(a^2-b^2=(a-b)(a+b))color(white)(2/2)|)))#
#"here " a=p" and " b=9#
#rArrp^2-81=(p-9)(p+9)#
#"returning to " color(red)((1))#
#rArr2p^3-162p=2p(p-9)(p+9)#
