Tuesday

September 30, 2014

September 30, 2014

Posted by **Ashley** on Monday, June 7, 2010 at 9:16am.

can someone work this problem for me. I have tried it does seem to work right.

- algebra -
**MathMate**, Monday, June 7, 2010 at 10:10amThe problem itself is not right. It is hard to interpret, much less to attempt if you don't indicate what you are supposed to do with it (simplify, order in decreasing powers, ...). The part indicated in bold is ambiguous. Is X the same as x?

X^2-4x+3/x^2+3x-18**-X62**-1/x^2+10x+24

If -X62 is meant to be -x^2, and X is the same as x, then the expression can be simplified to:

x² -4x +3/x^2 +3x -18 -x² -1/x^2 +10x +24

Order in decreasing powers of x, and group like terms (terms with the same variable raised to the same power):

x² -x² -4x +3x +10x -18 +24 +3/x^2 -1/x^2

which when like terms are added (or subtracted) gives:

9x +6 +2/x^2

- algebra -
**Ashley**, Monday, June 7, 2010 at 10:24amx^2 minus 4x+3 over x^2 olus 3x-18 -x^2-minus 1 over x^2 plus 10x plus 24 =

- algebra : Parentheses()!! -
**MathMate**, Monday, June 7, 2010 at 7:20pmWouldn't it be simpler if parentheses are used?

(x^2-4x+3)/(x^2+3x-18) - (x^2-1)/(x^2+10x +24) = ?

This problem can be solved the same way one would solve

32/24-13/15

=23/(3*8) - 13/(3*5)

=(23*5-13*8)/(3*5*8)

=11/120

Now here's the parallel, assuming you have learned to factorize quadratic expressions.

First factorize the numerator and denominator of each term:

(x^2-4x+3)/(x^2+3x-18) - (x^2-1)/(x^2+10x +24)

=(x-3)(x-1)/((x-3)(x+6)) - (x+1)(x-1)/((x+6)(x+4))

Notice that there is a common factor of (x+6) in the denominator, so the common denominator is

(x+6)(x-3)(x+4)

and the numerator would then be

(x-3)(x-1)**(x+4)**-(x+1)(x-1)**(x-3)**

Again, since each term of the numerator has the common factor of (x-3)(x-1), we can group the terms to simplify the numerator:

(x-3)(x-1)[(x+4)-(x+1)]

=3(x-3)(x-1)

Now we write out the whole expression:

3(x-3)(x-1)/((x+6)(x-3)(x+4))

and cancelling out the common factor (x-3), we get

3(x-1)/((x+6)(x+4))

Either leave that as is, or you can multiply out to give

(3x-3)/(x²+10x+24)

**Answer this Question**

**Related Questions**

alegbra - I have tried to work these problem and seem to do it wrong.I need help...

algebra - y^2-4y+3/y^2*4y+12/y^2-2y+1 2y(2y+3)/ I need some help with this ...

math,factoring,help - Can someone please show me step by step how to do these. I...

calculus - I've tried this problem about 20 times and a bunch of different ways ...

algebra - Could someone please check my work. what is the slope of the line that...

Algebra - I cannot seem to work this problem out correctly as all answers found ...

Algebra2 - Can Someone Check My Anwsers? 1. -17=10x+3 = x=2 2.9x+5=7x+3x-2 = x= ...

math 012 please help explain - can someone please help explain how to do this ...

alegbra - Help me solve this problem please, I have tried so many time.I can not...

CHEMISTRY - How many grams of CH4 are required to produce 43 g of Cu according ...