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Popular >

factor 27u^3+8u^3

Solution

factor

27 u^{3} + 8 u^{3}

Solution

35 u^{3}

Solution steps

27 u^{3} + 8 u^{3}

Rewrite

27 u^{3}

as

(3 u)^{3}

Rewrite

8 u^{3}

as

(2 u)^{3}

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

Apply Sum of Cubes Formula:

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

(3 u)^{3} + (2 u)^{3} = (3 u + 2 u) ((3 u)^{2} - 3 u 2 u + (2 u)^{2})

= (3 u + 2 u) ((3 u)^{2} - 3 u 2 u + (2 u)^{2})

Simplify

(3 u + 2 u) ((3 u)^{2} - 3 u \cdot 2 u + (2 u)^{2}) : 35 u^{3}

= 35 u^{3}

Popular Examples

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Frequently Asked Questions (FAQ)

What is factor 27u^3+8u^3 ?
The solution to factor 27u^3+8u^3 is 35u^3