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Popular >

factor 27x^3+125x^3

Solution

factor

27 x^{3} + 125 x^{3}

Solution

152 x^{3}

Solution steps

27 x^{3} + 125 x^{3}

Rewrite

27 x^{3}

as

(3 x)^{3}

Rewrite

125 x^{3}

as

(5 x)^{3}

= (3 x)^{3} + (5 x)^{3}

Apply Sum of Cubes Formula:

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

(3 x)^{3} + (5 x)^{3} = (3 x + 5 x) ((3 x)^{2} - 3 x 5 x + (5 x)^{2})

= (3 x + 5 x) ((3 x)^{2} - 3 x 5 x + (5 x)^{2})

Simplify

(3 x + 5 x) ((3 x)^{2} - 3 x \cdot 5 x + (5 x)^{2}) : 152 x^{3}

= 152 x^{3}

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Frequently Asked Questions (FAQ)

What is factor 27x^3+125x^3 ?
The solution to factor 27x^3+125x^3 is 152x^3