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Popular >

expand (r+dr)^3

Solution

expand

(r + d r)^{3}

Solution

r^{3} + 3 r^{2} d r + 3 r d r^{2} + d r^{3}

Solution steps

(r + d r)^{3}

Apply Perfect Cube Formula:

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

a = r, b = d r

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

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Frequently Asked Questions (FAQ)

What is expand (r+dr)^3 ?
The solution to expand (r+dr)^3 is r^3+3r^2dr+3rdr^2+dr^3