Which fraction is equal too?

Algebra
Tutor: None Selected Time limit: 1 Day

2x/x+2  -  x-3/x+5?

A: x^2+11x+6/(x+2)(x+5)

B:  x^2+3x+10/(x+2)(x+5)

C:  x^2+9x+6/(x+2)(x+5)

D: 3x^2+11x+6/(x+2)(x+5)

Apr 6th, 2015

2x/x+2  - x-3/x+5  original equation

= 2x (x+5) / x+2(x+5)  -  (x-3)(x+2) / x+2(x+5)   Multiply each side of the minus sign by the other sides                                                                             denominator over itsself to find common denominator.

= 2x(x+5) - (x-3)(x+2)  /  x+2(x+5)                     do the subtraction

= 2x^2 + 10x - x^2 + x + 6 / x+2(x+5)                  Multiply out the top terms 

= x^2 +11x +6 / x+2(x+5) = A                              simplifify

Apr 6th, 2015

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Apr 6th, 2015
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