what is the real answer my answer isnt listed

Algebra
Tutor: None Selected Time limit: 1 Day

ive reseaved an answer that isnt in the choices 

Simplify:

(6y^2-6/8y^2+8y)/(3y-3/4y^2+4y)

a. y+1

b. simpliest form

c.y-1

d.2y+5

May 28th, 2015

Please check the last () is it really (3y-3/4y^2+4y)=7y-3/4y^2 ??? could it be 3y^2 on the first term instead of 3y ??? or 4y^2 on the last term instead of 4y ???

May 28th, 2015

ill retype it

(6y^2-6/8y^2+8y)/(3y-3/4y^2+4)


May 28th, 2015

That's better - let me work on it now....

May 28th, 2015

ok :)

May 28th, 2015

The numerator is (48y^4+64y^3-6)/(8y^2)=(24y^4+32y^3-3)/(4y^2)

The denominator is 3y-3/4y^2+4=(12y^3+16y^2-3)/(4y^2)

So we have it= (24y^4+32y^3-3)/(12y^3+16y^2-3) after cancelling the 4y^2

Now you can easily see that it could not be c or d since when multiplying (12y^3+16y^2-3)  with c or d (we should get then (24y^4+32y^3-3) ) the free terms (the ones with no power of y) gives +3 for c and -15 for d but it should be -3 - so none is correct. It is also not a since multiplying y+1 by (12y^3+16y^2-3) gives us powers of y^4, y^3, y^2, y - but we don't have y in (12y^3+16y^2-3). It is not a then.

The final result is then (24y^4+32y^3-3)/(12y^3+16y^2-3) and can't simplify it further. (we could if the numerator had a -6 instead of the -3 - it would be simply "2" - but it isn't the way  the problem is stated here)

Good Luck.

May 29th, 2015

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