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2 years ago

12

Simplify the expression

-%208p%20%7D%5E%7B2%7D%20%29" id="TexFormula1" title=" {9p}^{4} \: x \: ( { - 8p }^{2} )" alt=" {9p}^{4} \: x \: ( { - 8p }^{2} )" align="absmiddle" class="latex-formula">

1 answer:

lions [1.4K]2 years ago

5 0

Answer:

-72p6x

Step-by-step explanation:

From <em>my </em>previous answer to a question similar

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$\dfrac{2}{\sqrt3\cos x+\sin x}=\sec\left(\dfrac{\pi}{6}-x\right)\\\\\dfrac{2}{\sqrt3\cos x+\sin x}=\dfrac{1}{\cos\left(\dfrac{\pi}{6}-x\right)}\ \ \ \ \ (*)\\----------------\\\\\cos\left(\dfrac{\pi}{6}-x\right)\ \ \ \ |\text{use}\ \cos(x-y)=\cos x\cos y+\sin x\sin y\\\\=\cos\dfrac{\pi}{6}\cos x+\sin\dfrac{\pi}{6}\sin x=\dfrac{\sqrt3}{2}\cos x+\dfrac{1}{2}\sin x=\dfrac{\sqrt3\cos x+\sin x}{2}\\------------------------------$

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