Question

Need a refresher here

6u^2-6/u^2-6u-7

Answer 1

\[\frac{ 6u ^{2} - 6}{u ^{2} -6u - 7 }\]

Factor the top and bottom and cancel out the common factors and simplify

Answer 2

top can be factored as \[6 (u ^{2} - 1) = 6 (u+1) (u - 1)\]

Difference of Squares. Factor the denominator like regular Quadratic function

Answer 3

\[u ^{2} - 6u - 7 = (u-7) (u + 1)\]

Answer 4

now cancel out the common factors and write the rest as your answer.

Answer 5

\[\frac{ 6(u + 1) (u - 1) }{ (u - 7 ) ( u + 1) }\]

Answer 6

so would it be 6(u-1)/(u-7) ?

Answer 7

yes

Answer 8

Sweet thank you.