Question

I have already answered it but please check my work.
Prove: sin θ - sin θ•cos^2 θ = sin^3 θ.

Answer 1

cos^2= 1-sin^2

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

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sin-sin-sin^3=sin^3

sin^3=sin^3

Answer 2

@jim_thompson5910 @Luigi0210 @Whitemonsterbunny17

Answer 3

As long as you see the typo above then yes that is correct

\(\large cos^2= 1-sin^2\)

\(\large sin-sin(1-sin^2)=sin^3\)

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\(\large sin-sin\color\red{+}sin^3=sin^3\)

\(\large sin^3=sin^3\)

Answer 4

Thank you so much for your help @johnweldon1993