SOLUTION: how to verify the identity of problem sin^3(x)+cos^3(x)=(sin(x)+cos(x))(1-sin(x)cos(x))

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Question 410612: how to verify the identity of problem
sin^3(x)+cos^3(x)=(sin(x)+cos(x))(1-sin(x)cos(x))
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
how to verify the identity of problem
sin^3(x)+cos^3(x)=(sin(x)+cos(x))(1-sin(x)cos(x))
..
sin^3(x)+cos^3(x)=(sin(x)+cos(x))(1-sin(x)cos(x))
starting from the left-hand side,
sin^3+cos^3
using sum of cubes formula,
=(sin+cos)(sin^2-sincos+cos^2)
=(sin+cos)(1-sincos)
verified: left-hand side=right-hand side