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Popular >

expand (x^2+x)^3

Solution

expand

(x^{2} + x)^{3}

Solution

x^{6} + 3 x^{5} + 3 x^{4} + x^{3}

Solution steps

(x^{2} + x)^{3}

Apply Perfect Cube Formula:

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

(x^{2} + x)^{3} = (x^{2})^{3} + 3 (x^{2})^{2} x + 3 x^{2} x^{2} + x^{3}

= (x^{2})^{3} + 3 (x^{2})^{2} x + 3 x^{2} x^{2} + x^{3}

Simplify

(x^{2})^{3} + 3 (x^{2})^{2} x + 3 x^{2} x^{2} + x^{3} : x^{6} + 3 x^{5} + 3 x^{4} + x^{3}

= x^{6} + 3 x^{5} + 3 x^{4} + x^{3}

Popular Examples

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2 x^{4} + x^{2} - 3

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16 - - 96 + 144 + - 54

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\frac{3}{4} + \frac{5}{3}

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2 x^{2} - 22 x - 52

simplify 9/(2/3)simplify

\frac{9}{\frac{2}{3}}

Frequently Asked Questions (FAQ)

What is expand (x^2+x)^3 ?
The solution to expand (x^2+x)^3 is x^6+3x^5+3x^4+x^3