How to find the product of #(sinA-cosA)(sin^2A+sinAcosA+cos^2A)# ?

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Answer 1 · 2018-03-27T14:29:19

#(sinA−cosA)⋅(sin^2A+sinA⋅cosA+cos^2A)#

#sinA(sin^2A+sinA⋅cosA+cos^2A)−cosA(sin^2A+sinA⋅cosA+cos^2A)#

#sin^3A+sin^2AcosA+sinAcos^2A−cosAsin^2A-sinAcos^2A-cos^3A#

#=> sin^3A - cos^3A#

How to find the product of #(sinA-cosA)*(sin^2A+sinA*cosA+cos^2A)# ?