You can put this solution on YOUR website! Simplify the sum and state any restrictions on variable.
(x-2/x+3) + (10x/x^2-9)
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Least common divisor: (x-3)(x+3)
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Write each fraction with the lcd as its denominator:
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((x-2)(x-3)/lcd] + [10x/lcd]
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Combine the numerators over the lcd:
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= (x^2-5x+6+10x)/lcd
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Simplify:
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= (x^2+5x+6)/[(x+3)(x-3)]
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Factor:
= [(x+3)(x+2)]/[(x+3)(x-3)]
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= (x+2)/(x-3)
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Cheers,
Stan H.
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