Question

Factor the following expression. Show the steps to the final answer.

Answer 1

\[198q^3r^2-184q^2r^2+18qr^2\]

Answer 2

first look at the numbers and find their greatest common factor (GCF)

Answer 3

they are all even so 2 is a possibility
write them as prime factors

18 = 2*3*3

Answer 4

will 6 or 9 divide exactly into 184?

Answer 5

hang on....

Answer 6

no

Answer 7

ok so the GCF of the numbers is 2

the GCF of the variables is easy
eg q^3, q^2 and q
the greatest factor which divides into these 3 is q

the terms in r are all r^2 so GCF of these is r^2

so your GCF is 2qr^2

take this out and divide each term by 2qr^2 to getthe other factor in the parentheses

Answer 8

I'm lost....i have no clue...

Answer 9

Never mind i got it. Thanks for your help!:)