Directions: Decide whether the statements are true or false by using partial fraction decomposition. If the statement is false, show the correct way to decompose the partial fraction.

3/x^2+x-2=-1/x+2+1/x-1

5 answers

Your non use of parenthesis makes this problem undecipherable.
Well the way the problem was on my paper, it doesn't have parenthesis so I wasn't sure if I should add them, sorry.

(3)/(x^2)+(x-2)=(-1)/(x+2)+(1)/(x-1)
You don't get it ...
I think you meant this:
3/(x^2+x-2)=-1/x+2+1/x-1

factor the left side:
3/((x+2)(x-1))=A/(x+2) + B/(x-1)

Now to solve A and B
3/((x+2)(x-1))=(A(x-1)+B(X+2))/((x+2)(x-1))

now comparing numerators,
3=Ax-A+Bx+2
and from that, Ax+Bx=0, or A=-B
and -A+2=3 or A=-1, so B=1
Hi i was wondering since you guys are SUPAH GOOD could you help with this I have 2 questions

which measure correctly completes the statement.
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if you know what this came frome please tell me how?? thank you so much don't ignore

lesson 13 geometry
Partial fractions