Question 341253: find the LCD and simplify (2/x^2-x-2)+ (10/x^2+2x-8)
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! find the LCD and simplify (2/x^2-x-2)+ (10/x^2+2x-8)
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Factor:
(2/[(x-2)(x+1)) + {10/[(x+4)(x-2)]
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LCD: (x-2)(x+1)(x+4)
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Rewrite each term with the LCD as its denominator:
[2(x+4)]/LCD + [10(x+1)]/LCD
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Combine the numerators over the LCD:
[2x+8+10x+10]/LCD
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Simplify:
(12x+18)/[(x-2)(x+1)(x+4)]
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[6(2x+3)]/[(x-2)(x+1)(x+4)]
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Cheers,
Stan H.
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