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Popular >

factor u^3+27v^3

Solution

factor

u^{3} + 27 v^{3}

Solution

(u + 3 v) (u^{2} - 3 uv + 9 v^{2})

Solution steps

u^{3} + 27 v^{3}

Apply exponent rules

= u^{3} + (3 v)^{3}

Apply Sum of Cubes Formula:

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

u^{3} + (3 v)^{3} = (u + 3 v) (u^{2} - u \cdot 3 v + (3 v)^{2})

= (u + 3 v) (u^{2} - u \cdot 3 v + (3 v)^{2})

Simplify

u^{2} - u \cdot 3 v + (3 v)^{2} : u^{2} - 3 uv + 9 v^{2}

= (u + 3 v) (u^{2} - 3 uv + 9 v^{2})

Popular Examples

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\frac{m ^{15}}{m ^{3}}

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\frac{3}{2} - \frac{7}{2}

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\frac{7}{8} + \frac{1}{12}

simplify-x*1 simplify

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Frequently Asked Questions (FAQ)

What is factor u^3+27v^3 ?
The solution to factor u^3+27v^3 is (u+3v)(u^2-3uv+9v^2)