What is factor 27w^3+y^6 ?

The solution to factor 27w^3+y^6 is (3w+y^2)(9w^2-3wy^2+y^4)

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factor 27w^3+y^6

factor

27 w^{3} + y^{6}

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

Solution steps

27 w^{3} + y^{6}

Apply exponent rules

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

Apply Sum of Cubes Formula:

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

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

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

Simplify

(3 w)^{2} - 3 w y^{2} + (y^{2})^{2} : 9 w^{2} - 3 w y^{2} + y^{4}

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

1 0^{2} + 1 0^{2}

\frac{5 ^{- 5}}{5 ^{8}}

50 b^{2} - 85 b - 117

12 x^{2} - 35 x - 3

\frac{π}{4} + \frac{π}{4}

What is factor 27w^3+y^6 ?
The solution to factor 27w^3+y^6 is (3w+y^2)(9w^2-3wy^2+y^4)