What is expand (r+ux)^3 ?

The solution to expand (r+ux)^3 is r^3+3r^2ux+3ru^2x^2+u^3x^3

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expand (r+ux)^3

expand

(r + ux)^{3}

r^{3} + 3 r^{2} ux + 3 r u^{2} x^{2} + u^{3} x^{3}

Solution steps

(r + ux)^{3}

Apply Perfect Cube Formula:

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

(r + ux)^{3} = r^{3} + 3 r^{2} ux + 3 r (ux)^{2} + (ux)^{3}

= r^{3} + 3 r^{2} ux + 3 r (ux)^{2} + (ux)^{3}

Simplify

r^{3} + 3 r^{2} ux + 3 r (ux)^{2} + (ux)^{3} : r^{3} + 3 r^{2} ux + 3 r u^{2} x^{2} + u^{3} x^{3}

= r^{3} + 3 r^{2} ux + 3 r u^{2} x^{2} + u^{3} x^{3}

(- 5 a^{3} d c^{4}) (4 a d c^{2})

(\frac{- 12}{2})^{2}

\frac{3}{2} \cdot \frac{4}{3}

\frac{a + 6}{a ^{2} + 12 a + 36}

(9 a^{4})^{\frac{1}{2}}

What is expand (r+ux)^3 ?
The solution to expand (r+ux)^3 is r^3+3r^2ux+3ru^2x^2+u^3x^3