simplify: sin(x) - sin(x)cos^2(x)?

Answer 1

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

Th

Answer 2

= sin x (1 - cos ² x)
= sin x .sin ² x
= sin ³ x

Answer 3

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

sin(x) - sin(x)cos^2(x) =
= sin(x) - sin(x) (1 - sin^2(x))
= sin(x) - sin(x) + (sin^3 (x))
= sin^3(x)

Answer 4

sin(x) - sin(x)cos^2(x) =
sin(x) (1 - cos^2(x)) =
sin(x) (sin^2 (x)) =
sin^3(x)