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Popular >

simplify (u^2cos(v))*(ucos(v))

Solution

simplify

(u^{2} cos (v)) \cdot (u cos (v))

Solution

u^{3} cos^{2} (v)

Solution steps

(u^{2} cos (v)) (u cos (v))

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

cos (v) cos (v) = cos^{1 + 1} (v)

= u^{2} u cos^{1 + 1} (v)

Add the numbers:

1 + 1 = 2

= u^{2} u cos^{2} (v)

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

u^{2} u = u^{2 + 1}

= u^{2 + 1} cos^{2} (v)

Add the numbers:

2 + 1 = 3

= u^{3} cos^{2} (v)

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Frequently Asked Questions (FAQ)

What is (u^2cos(v))*(ucos(v)) ?
The solution to (u^2cos(v))*(ucos(v)) is u^3cos^2(v)