化简 4(sin(2pirst^3))^2s^2

解答

化简

4 (sin (2 π rs t^{3}))^{2} s^{2}

4 s^{2} sin^{2} (2 π rs t^{3})

求解步骤

4 (sin (2 π rs t^{3}))^{2} s^{2}

使用指数法则:

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

假定

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})

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