Maths

Please solve this trigonometric identity proof problem. I have completed 20; this is the hardest one. Many thanks

(sin^3(x)-cos^3(x))/sin(x)-cos(x)=1+sin(x)cos(x)

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asked by Joe
  1. recall that
    (a^3-b^3) = (a-b)(a^2+ab+b^2)
    sin^2+cos^2 = 1

    and it all drops right out.

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    posted by Steve

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