Question

sin3+cos3=(sin+cos)(1-sin cos)

Answer 1

Answer:

Expansion of a cubic  a 3 + b 3 = ( a + b ) ( a 2 − a b + b 2 )

= sin 2 x − sin x cos x + cos 2x  

= sin 2 x + cos 2 x − sin x cos x

= 1 − sin x cos x

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