What is factor 8x^3+27y^6 ?

The solution to factor 8x^3+27y^6 is (2x+3y^2)(4x^2-6xy^2+9y^4)

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factor 8x^3+27y^6

factor

8 x^{3} + 27 y^{6}

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

Solution steps

8 x^{3} + 27 y^{6}

Apply exponent rules

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

Apply Sum of Cubes Formula:

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

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

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

Simplify

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

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

45 x + 10 y

9 x - 10 = 5 x + 22

3 2^{\frac{3}{2}}

3 + x^{2} = 12

\frac{5 x ^{7} y ^{8}}{x ^{2} y ^{8}}

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