Question

x^2 + 5x +6 over x^2 + x -6 times x^2-9 over x^2-x-6

Answer 1

\[[(x+3)(x+2)]/[(x+3)(x-2)] * [(x-3)(x+3)]/[(x-3)(x+2)]\]

Answer 2

now you will note there are common factors: (x+3) in the first part, and (x-3) in the second part which cancel.

Answer 3

to give you:
\[[(x+2)]/[(x-2)] * [(x+3)]/[(x+2)]\]

Answer 4

now if we multiply these we get:
\[[(x+2)(x+3)/(x+2)(x-2)]\]

Answer 5

note above the x+2 in the numerator and denominator cancel to give:
\[[(x+3)/(x-2)]\]

Answer 6

That's your answer daniMarie!