Tuesday

September 16, 2014

September 16, 2014

Posted by **Shreya** on Wednesday, January 4, 2012 at 8:34pm.

7(x-3)-8(x-2)/(x-2)(x+5)(x-3)

7x-21-8x+16/(x-2)(x+5)(x-3)

7x-8x give me -1x and -21+16 give me -5. for numerator but it have to be -1/(x-2)(x-3)

i not know how to do this please explain process my way not different way.

- math calculus -
**Reiny**, Wednesday, January 4, 2012 at 8:57pmYou have to use brackets to show that both

x-2 and x+5 are factors of the bottom, so ...

7/((x-2)(x+5)) - 8/((x+5)(x-3)

so the lowest common denominator is (x-2)(x+5)(x-3)

we get

[ 7(x-3) - 8(x-2) ] /[(x-2)(x+5)(x-3)]

= [7x - 21 - 8x + 16]/[(x-2)(x+5)(x-3)]

= (-x - 5)/[(x-2)(x+5)(x-3)]

= -1(x+5)/[(x-2)(x+5)(x-3)]

= -1/[(x-2)(x-3)]

- math calculus -
**Shreya**, Wednesday, January 4, 2012 at 9:11pm= (-x - 5)/[(x-2)(x+5)(x-3)]

i understand how u do this part

= -1(x+5)/[(x-2)(x+5)(x-3)]

i not understand how you get numerator

- math calculus -
**Reiny**, Wednesday, January 4, 2012 at 9:19pmI simply factored out a -1

- math calculus -
**Shreya**, Wednesday, January 4, 2012 at 9:29pmsorry but that the only thing i dont understand how do u factor that out? could you please explains slowly

- math calculus -
**Reiny**, Wednesday, January 4, 2012 at 9:40pmsuppose you had

2x + 4

then it would be 2(x+2)

suppose you had

-2x - 4

then it would be -2(x+2)

suppose you had -x -5

then it would be -1(x+5)

in each case, expand my answer and see what you get.

- math calculus -
**Shreya**, Wednesday, January 4, 2012 at 10:06pmthank you very much reiny for taking time to explain :) u took all confusion away :)

**Answer this Question**

**Related Questions**

Calculus--Reiny - Calculus - Reiny, Friday, December 23, 2011 at 6:59pm I read ...

Math2[Please Check Again] - Problem: a^2-9 a^2-3a ----- * -------- a^2 a^2+a-12 ...

7th grade math Ms. Sue please - I have absolutely NO IDEA how to solve this ...

College Algebra - 1.Give a quadratic function q(x) with a vertex of (-1, 2). 2. ...

Algebra - Solve Rational Inequalities x^2-x-2/x^2+5x+6<0 I cant figure this ...

chemistry - these are my three thermochemical equations 2Cu(s)+S(s) give Cu_2S(s...

6th grade math - I still do not understand this problem? find a number such that...

Math (Geometry) - Give one example of how to solve for a missing side, given 1 ...

7th grade math Ms. Sue please - Sometimes people say, "Give 110% of your effort...

algebra 2 - 3/5 Give the equivalent numerator if the denominator is 80.