SOLUTION: Tutor could you help me please by showing me what steps I need to take in multiplying and simplifying this math problem? Thank you very much. x^2-2x-15/x^2+x-6 * x^2-4x-21/x^2-

Question 134824: Tutor could you help me please by showing me what steps I need to take in multiplying and simplifying this math problem? Thank you very much.
x^2-2x-15/x^2+x-6 * x^2-4x-21/x^2-25
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
(x^2-2x-15)/(x^2+x-6) * (x^2-4x-21)/(x^2-25)
factor where you can:)
= [(x-5)(x+3)/(x+3)(x-2)] * [(x-7)(x+3)/(x-5)(x+5)]
Cancel (x+3) which are common to a numerator and a denominator:
= [(x-5)/(x-2)] * [(x-7)(x+3)/(x-5)(x+5)]
Cancel (x-5) which are common to a numerator and a denominator:
= [1/(x-2)] * [(x-7)(x+3)/(x+5)]
= [(x-7)(x+3)]/[(x-2)(x+5)]
================================
Cheers,
Stan H.

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