I NEED HELP ASAP!!!!!!!!!!!!!!11

P

Professor Awesome

New member
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Nov 13, 2005
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11
here are the problems I need to solve. I need them really fast. Its due tomorrow and being graded and I have know idea what I'm doing.

i need to show work too

 
A little effort to show what you are doing will help guide you....but for #3 to start you off.

bring the top line to a common base ...

( a(a-b) + b (a+b) ) / ( (a+b) (a-b) )


same for the bottom line

( b(a-b) - a(a+b) ) / ( (a+b) (a-b) )

expand each of these and cancel out to find

= -1
 
For anybody who can't see the graphic, the exercises are as follows:

. . . . .Simplify:

. . . . .\(\displaystyle \large{1)\mbox{ }\frac{x^2\mbox{ }-\mbox{ }2xy\mbox{ }+\mbox{ }xy\mbox{ }-\mbox{ }2y^2}{3xy\mbox{ }+\mbox{ }3y^2\mbox{ }-\mbox{ }x^2\mbox{ }-\mbox{ }xy}}\)

. . . . .\(\displaystyle \large{2)\mbox{ }\frac{\frac{a}{a\mbox{ }+\mbox{ }b}\mbox{ }+\mbox{ }\frac{b}{a\mbox{ }-\mbox{ }b}}{\frac{b}{a\mbox{ }+\mbox{ }b}\mbox{ }-\mbox{ }\frac{a}{a\mbox{ }-\mbox{ }b}}}\)

. . . . .\(\displaystyle \large{3)\mbox{ }1\mbox{ }-\mbox{ }\frac{1}{1\mbox{ }+\mbox{ }\frac{1}{x\mbox{ }-\mbox{ }\frac{1}{x}}}}\)

To the poster:

1) Factor "by grouping", and cancel common factors, if any.

2) One method would be to multiply through, top and bottom, by the overall common denominator of (a + b)(a - b). Then simplify the result.

3) Work from the bottom up.

Eliz.
 
So... you're asking for lessons on the various aspects of factoring polynomial expressions...? (This would take a week or two in the classroom, but we can probably find some online lessons that you could work through over a couple of days, if this is what you're asking for.)

Thank you.

Eliz.
 
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