12x^2 - 18xy - 54y^2 / 6y^2 + 4xy
2007-08-18 07:06:49 · 5 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
this is a mutiple choice question. yet saddly enough, i still did not get an answer that even comes close to the MC answers. PLEASE HELP?
2007-08-18 07:24:57 · update #1
Hi,
12x² - 18xy - 54y²
------------------------
6y² + 4xy
This factors into:
6(x - 3y)(2x + 3y)
-----------------------
2y(3y + 2x)
Cancel out the (2x + 3y) factors. Reduce the 6 and the 2.
3(x - 3y)
------------ <== answer
.....y
3(x - 3y)/y It could also be written like this.
I hope that helps!! :-)
2007-08-18 07:24:01 · answer #1 · answered by Pi R Squared 7 · 1⤊ 0⤋
Notice that -18xy + 4xy = -14xy and 54y^2/6y^2 = 9. The expression simplifies to 12x^2 - 14xy - 9.
2007-08-18 14:20:38 · answer #2 · answered by Tony 7 · 0⤊ 3⤋
1\3
2007-08-18 14:10:48 · answer #3 · answered by acdc_rock1 1 · 0⤊ 4⤋
12x^2-18xy-54y^2/6y^2+4xy
=6(2x^2-3xy-9y^2)/2y(3y+2x)
=3(2x^2-6xy+3xy-9y^2)/y(2x+3y)
=3{2x(x-3y)+3y(x-3y)}/y(2x+3y)
=3(2x+3y)(x-3y)/y(2x+3y)
=3(x-3y)/y ans
2007-08-18 14:59:08 · answer #4 · answered by MAHAANIM07 4 · 0⤊ 0⤋
6x^2-9xy-27y^2/(3y^2+2xy)
3((2x+3y)(x-3y)/(y(3y+2x))
3(x-3y)/y
3x/y-9
2007-08-18 14:25:48 · answer #5 · answered by Curtis 6 · 0⤊ 0⤋