Question

Simplify completely:

2x^2 + 20x + 32 / x^2 - 2x - 80

Answer 1

[ 2x^2 + 20x + 32 ] / [ x^2 - 2x - 80 ]
[ 2 ( x^2 + 10x + 16) ] / [ x^2 - 2x - 80 ]

simplify both denominator & numerator :
[ 2 (x+2) (x+8) ] / [ (x+8) (x-10) ]

crossing out the common (x+8), we get :
[ 2(x+2) ] / [ (x-10) ]

You can verify the final result by plugging in the same value of 'x' for both initial and final equation. If both yield the same answer, then it's correct.