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Popular >

factor 27y^3-8y^3

Solution

factor

27 y^{3} - 8 y^{3}

Solution

19 y^{3}

Solution steps

27 y^{3} - 8 y^{3}

Rewrite

27 y^{3}

as

(3 y)^{3}

Rewrite

8 y^{3}

as

(2 y)^{3}

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

Apply Difference of Cubes Formula:

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

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

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

Simplify

(3 y - 2 y) ((3 y)^{2} + 3 y \cdot 2 y + (2 y)^{2}) : 19 y^{3}

= 19 y^{3}

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Frequently Asked Questions (FAQ)

What is factor 27y^3-8y^3 ?
The solution to factor 27y^3-8y^3 is 19y^3