Question

LCM of x^2-9x+18, -6x+36

Answer 1

\(\large\tt \begin{align} \color{black}{ x^2-9x+18, ,,,,,,-6x+36\\~\\
\implies x^2-6x-3x+18,,,,,,,,,,, -6(x-6)\\~\\
\implies x(x-6)-3(x-6), ,,,,,,,,,,,,-6(x-6)\\~\\
\implies (x-3)(x-6), ,,,,,,,,,,-6(x-6)\\~\\~\\~\\
\text{hence the lcm is }\\~\\
(x-6)}\end{align}\)

Answer 2

yay thank you so much! my brain has decided to stop working with midterms..

Answer 3

I don't buy it. (x-6) the lowest common factor.

The LCM is (x-3)(x-6)(-6)

Answer 4

oh yea,lol

i wrote the gcd

Answer 5

\(\large\tt \begin{align} \color{black}{ x^2-9x+18, ,,,,,,-6x+36\\~\\
\implies x^2-6x-3x+18,,,,,,,,,,, -6(x-6)\\~\\
\implies x(x-6)-3(x-6), ,,,,,,,,,,,,-6(x-6)\\~\\
\implies (x-3)(x-6), ,,,,,,,,,,-6(x-6)\\~\\~\\~\\
\text{hence the lcm is }\\~\\
-6(x-6)(x-3)}\end{align}\)

Answer 6

Actually, (x-3) is the greatest common factor. I should know that. We just covered factor trees in the GED math class I volunteer to help with.

Answer 7

so u think \((x-3)\) is common in both terms???

Answer 8

Clearly (x-3) is a common factor to (x-3)(x-6) and -6(x-3)

Answer 9

\((x-3)(x-6) and -6(x-3)\\
\implies x^2-9x+18 ~~ and -6x+18\)

that is not given tin the question

Answer 10

mathmath333 was correct.