Question

(sinx +cos x)³ + (sinx-cosx)³ =?​

Answer 1

Answer:

$2sinx(sin^{2}x +3cos^{2}x)$

Step-by-step explanation:

$(sinx + cosx)^{3} + (sinx - cosx)^{3} \\sin^{3} x +3sin^{2}xcosx + 3sinxcos^{2}x + cos^{3} x + sin^{3} x -3sin^{2}xcosx + 3sinxcos^{2}x- cos^{3} x\\2sin^{3} x +6sinxcos^{2}x \\2sinx(sin^{2}x +3cos^{2}x)$