What is 4(sin(2pirst^3))^2s^2 ?

The solution to 4(sin(2pirst^3))^2s^2 is 4s^2sin^2(2pirst^3)

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simplify 4(sin(2pirst^3))^2s^2

simplify

4 (sin (2 π rs t^{3}))^{2} s^{2}

4 s^{2} sin^{2} (2 π rs t^{3})

Solution steps

4 (sin (2 π rs t^{3}))^{2} s^{2}

Apply exponent rule:

a^{m} b^{m} = (ab)^{m},

assuming

a \geq 0, b \geq 0

s^{2} (sin (2 π rs t^{3}))^{2} = (s sin (2 π rs t^{3}))^{2}

= 4 (s sin (2 π rs t^{3}))^{2}

(sin (2 π rs t^{3}) s)^{2} = s^{2} sin^{2} (2 π rs t^{3})

= 4 s^{2} sin^{2} (2 π rs t^{3})

(x - 8)^{2} (x - 4)^{2} (x + 1)^{2}

- 2 e^{- x} (e^{- x})

(x^{2} - 4)^{2} (x + 1)^{2}

{[(2 x^{2})^{3}]^{- 4}}^{- 1}

(e^{- \frac{1}{2}})^{2}

What is 4(sin(2pirst^3))^2s^2 ?
The solution to 4(sin(2pirst^3))^2s^2 is 4s^2sin^2(2pirst^3)