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Popular >

factor x^3+y^6

Solution

factor

x^{3} + y^{6}

Solution

(x + y^{2}) (x^{2} - x y^{2} + y^{4})

Solution steps

x^{3} + y^{6}

Apply exponent rule:

a^{b c} = (a^{b})^{c}

y^{6} = (y^{2})^{3}

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

Apply Sum of Cubes Formula:

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

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

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

(y^{2})^{2} = y^{4}

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

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Frequently Asked Questions (FAQ)

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