SOLUTION: I need help with on multiplying this one. 2x2+5x-12 times x2-3x-10 over x2-4x-5 times x2-16

Question 200003: I need help with on multiplying this one.
2x2+5x-12 times x2-3x-10 over
x2-4x-5 times x2-16
Answer by RAY100(1637) (Show Source): You can put this solution on YOUR website!
[ (2x^2+5x-12) * (x^2 -3x -10)] / [(x^2 -4x-5) * (x^2-16) ]
.
factor all quadratics
.
[ (2x-3)(x+4) * (x+2)(x-5)] / [ (x+1)(x-5) * (x+4)(x-4) ]
.
simplify by eliminating like terms in num and den
.
[ (2x-3)(x+2) ] / [ (x+1)(x-4) ],,,,,could stop here or multiply factors
.
[ 2x^2 +x -6} / [ x^2 -3x -4]
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