SOLUTION: i need help on these questions(they are fractions) 1. 2x^2-11x+12/27-18x (divided by) x^3+4x^2/6x^3-96x 2.6y/6y-14 (divided by) 21/9y-21 (divided by) y^2/35

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Question 63469: i need help on these questions(they are fractions)
1. 2x^2-11x+12/27-18x (divided by) x^3+4x^2/6x^3-96x
2.6y/6y-14 (divided by) 21/9y-21 (divided by) y^2/35
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
1. [2x^2-11x+12] / [27-18x] / [ x^3+4x^2] / [6x^3-96x]
Factor where you can to get:
[2x^2-11x+12] / [27-18x] / [ x^3+4x^2] / [6x^3-96x]
= [(2x-3)(x-4)] / [-9(2x-3)] / [x^2(x+4)] / [6x(x-4)(x+4)]
Cancel where you can to get:
= [(2x-3)/(-9)] * [6x(x-4)/x^2]
=[-(2x-3)/3] * [2x(x-4)/x^2]
You might further change the form of this but it is basically finished.
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2.6y/6y-14 (divided by) 21/9y-21 (divided by) y^2/35
= {[6y] / [6y-14] }/ {[ 21] / [9y-21]} / {[y^2] / [35]}
= {[3y] / [3y-7] }/ {[ 7] / [3y-7]} / {[y^2] / [35]}
= {[3y] / [ 7]} / {[y^2] / [35]}
= {[15y] / [y^2]}
= {15/y]
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Cheers,
Stan H.