SOLUTION: Tutor could you please help me subtract and simplify this problem please.
x/x^2-3x+2 + 3/X^2+x-2
Thank you!
Algebra.Com
Question 134829: Tutor could you please help me subtract and simplify this problem please.
x/x^2-3x+2 + 3/X^2+x-2
Thank you!
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
x/(x^2-3x+2) + 3/(X^2+x-2)
Factor to get:
= x/[(x-2)(x-1)] + 3/[(x+2)(x-1)]
lcm = (x-2)(x+2)(x-1)
= [x(x+2)]/lcm + [3(x-2)]/lcm
= [x^2+2x + 3x-6]/lcm
= [x^2+5x-6]/lcm
= [(x+6)(x-1)]/[(x-2)(x+2)(x-1)]
Cancel (x-1)'s
= (x+6)/(x^2-4)
===============
Cheers,
Stan H.
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