Multiply. Express product in lowest terms:
y^2+2y-63 / y^2+3y -70 * y^2-2y-80/y^2+17y+72

Question

bme89 · Answer

First you have to factor all of the terms.  Then you can simplify it down

bme89 · Answer

It is factored to the following fraction:

The numerator: (y+9)(y-7)(y-10(y+8)

The denominator: (y-10)(y+7)(y+9)(y+8)

bme89 · Answer

Then cancel the terms to leave (y-7)/(y+7)

bme89 · Answer

But remember to include that in the simplified expression, y cannot equal 10, -9, or -8.  This is because the original expression will give 0/0 while the simplified expression will not give 0/0.

anonymous · Answer

If the intended problem expression is
( (y^2 + 2 y - 63)/(y^2 + 3 y - 70) )
*
( (y^2 - 2 y - 80)/(y^2 + 17 y + 72) ) 
then$$\frac{y-10}{y+10} $$is the answer.

anonymous · Answer

y-7 / y+7 was a wrong answer?

anonymous · Answer

@ SeattleSunGirl

Is the form of your problem expression (a+b)/(c+d) or something else?  My solution assumed (a+b)/(c+d) where a, b, c and d are your quadratic expressions.

anonymous · Answer

Sorry.  I made a mistake.
I assumed a form of (a/b)*(c/d) , not (a+b)/(c+d) as stated above.

anonymous · Answer

No no, your answer was right :)

anonymous · Answer

Thank you.  In the future you might insert parenthesis to eliminate any chance that the problem form will be being questioned.

bme89 · Answer

oh sorry, yeah, robtobey is right.  My mistake was on the denominator, (y+10)(y-7).  which leaves (y-10)/(y+10)