Question

16x^3-100x

Answer 1

Factor?

Answer 2

yes

Answer 3

first factor an x
then factor it as a difference of 2 squares

Answer 4

x(16x^2-100)
x(4x-10)(4x+10)

Answer 5

wait so there isn't a greatest common factor between 16 and 100??

Answer 6

\(\normalsize \color{black}{ \bf 16x^3-100x}\)

\(\normalsize \color{black}{ \bf x(16x^2-100)}\)

Answer 7

\(\normalsize \color{black}{ \bf x(16x^2-10^{2})}\)

\(\normalsize \color{black}{ \bf x( ~~(4x)^{2}-10^{2}~~)}\)

\(\normalsize \color{black}{ \bf x( ~2x+10)(2x-10)}\)

\(\normalsize \color{black}{ \bf x~~2( ~x+5)2(x-5)}\) (no exponents)

\(\normalsize \color{black}{ \bf x~~2( ~x+5)2(x-5)}\) (no exponents)

\(\normalsize \color{black}{ \bf 4x( x+5)(x-5)}\)