Question 927725


{{{sin^3(x)cos^2(x) =sin(x)(cos^2(x)-cos^4(x))}}} 

start with right side and prove it's equal to left side:

{{{sin(x)(cos^2(x)-cos^4(x))}}} 

={{{sin(x) cos^2(x )(1-cos^2(x)) }}}

={{{sin(x) cos^2(x) (sin^2(x)) }}}

={{{sin^3(x) cos^2(x)}}}