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Popular >

factor 8m^3-27y^6

Solution

factor

8 m^{3} - 27 y^{6}

Solution

(2 m - 3 y^{2}) (4 m^{2} + 6 m y^{2} + 9 y^{4})

Solution steps

8 m^{3} - 27 y^{6}

Apply exponent rules

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

Apply Difference of Cubes Formula:

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

(2 m)^{3} - (3 y^{2})^{3} = (2 m - 3 y^{2}) ((2 m)^{2} + 2 m \cdot 3 y^{2} + (3 y^{2})^{2})

= (2 m - 3 y^{2}) ((2 m)^{2} + 2 m \cdot 3 y^{2} + (3 y^{2})^{2})

Simplify

(2 m)^{2} + 2 m \cdot 3 y^{2} + (3 y^{2})^{2} : 4 m^{2} + 6 m y^{2} + 9 y^{4}

= (2 m - 3 y^{2}) (4 m^{2} + 6 m y^{2} + 9 y^{4})

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Frequently Asked Questions (FAQ)

What is factor 8m^3-27y^6 ?
The solution to factor 8m^3-27y^6 is (2m-3y^2)(4m^2+6my^2+9y^4)