Question

Factor completely: 2x^3 – 18x

Answer 1

take common factors firstly
then

recall that \(\bf a^2-b^2 = (a-b)(a+b)\)

Answer 2

these are the answers so im confuzed

2x(x – 9)

x(x – 3)(x – 3)

2x(x + 3)(x – 3)

2(x + 3)(x – 3)

Answer 3

so if you take common factor to \(\bf 2x^3 – 18x\) what would you get?

Answer 4

umm...

Answer 5

hmmm *scratch chin * hmm what would be the common factor....

Answer 6

2

Answer 7

just 2? anything else common to both terms?

Answer 8

i dont think so

Answer 9

well, let's take a peek -> \(\bf 2x^3 - 18x\implies {\color{blue}{ 2}}x^3 - ({\color{blue}{ 2}}\cdot 9)x\implies {\color{blue}{ 2}}\cdot {\color{blue}{ x}}\cdot x\cdot x - ({\color{blue}{ 2}}\cdot 9){\color{blue}{ x}}\)

what do you think?

Answer 10

uh...