Question 132040
2x+1/x^2-16 [+] x^2-6x-7/x^2-11x+28
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Factor where you can:
[(2x+1)/(x-4)(x+4)] + [(x-7)(x+1)/(x-4)(x-7)]
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Least common denominator: (x-4)(x+4)(x-7)
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Rewrite each fraction  with the lcm as its denominator.
[(2x+1)(x-7)/lcm] + [(x-7)(x+1)(x+4)]/lcm
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Simplify:
[2x^2-13x-7+(x-7)(x^2+5x+4)]/lcm
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[2x^2-13x-7+x^3+5x^2-7x^2+4x-35x-28]/lcm
[x^3-44x-35]/lcm
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Cheers,
Stan H.