Question 906062
{{{ sin(x) cos^2(x) - sin (x) = -sin^3(x) }}} ....substitute {{{cos^2(x)}}} with {{{ 1-sin^2(x) }}} 


{{{ highlight(sin(x)(1-sin^2(x))) - sin (x) = -sin^3(x) }}} ...multiply {{{ highlight(sin(x)(1-sin^2(x))) }}}


{{{ sin(x)*1-sin(x)*sin^2(x) - sin (x) = -sin^3(x) }}}


{{{ sin(x)-sin^3(x) -sin (x) = -sin^3(x) }}}


{{{ cross(sin(x))-sin^3(x) -cross(sin (x)) = -sin^3(x) }}}


{{{ -sin^3(x)  = -sin^3(x) }}}