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Popular >

expand (v+dv)^3

Solution

expand

(v + d v)^{3}

Solution

v^{3} + 3 v^{2} d v + 3 v d v^{2} + d v^{3}

Solution steps

(v + d v)^{3}

Apply Perfect Cube Formula:

(a + b)^{3} = a^{3} + 3 a^{2} b + 3 a b^{2} + b^{3}

a = v, b = d v

= v^{3} + 3 v^{2} d v + 3 v d v^{2} + d v^{3}

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Frequently Asked Questions (FAQ)

What is expand (v+dv)^3 ?
The solution to expand (v+dv)^3 is v^3+3v^2dv+3vdv^2+dv^3