Question 127212: I need to express the following in the simplest form:
{a^2+6a-7} {2a^2+a-15} {a^2+5a-14}
-------- * --------- / ---------
{6a^2-7a-20} {a^2+2a-3} {3a^2-2a-8}
So far I have:
{(a+6)(a-1)} {3a+4}
---------- * -------- / ---------
{(a+3)(a-1)} {(a+7)}
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! I need to express the following in the simplest form:
{a^2+6a-7} {2a^2+a-15} {a^2+5a-14}
-------- * --------- / ---------
{6a^2-7a-20} {a^2+2a-3} {3a^2-2a-8}
=====================================================================
Factor where you can; Cancel where you can:
{(a+7)(a-1)} * {(2a-5)(a+3)} / {(a+7)(a-2)}
------------ ------------ ------------
{(2a-5)(3a+4)} {(a+3)(a-1)} {(a-2)(3a+4)}
=====================================================================
Cancel (a-1),(2a-5),(a+3), (a-2)
{(a+7)} * 1 / {(a+7)}
--------- --- ------------
{(3a+4)} 1 {(3a+4)}
=============================
Invert the denominator and multiply to get:
Final Answer: 1
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Cheers,
Stan H.
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