What is factor-2a^3b^3+a^6+b^6 ?

The solution to factor-2a^3b^3+a^6+b^6 is (a-b)^2(a^2+ab+b^2)^2

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factor-2a^3b^3+a^6+b^6

factor

- 2 a^{3} b^{3} + a^{6} + b^{6}

(a - b)^{2} (a^{2} + ab + b^{2})^{2}

Solution steps

- 2 a^{3} b^{3} + a^{6} + b^{6}

Factor out

- 1 : - (2 a^{3} b^{3} - a^{6} - b^{6})

= - (2 a^{3} b^{3} - a^{6} - b^{6})

Factor

2 a^{3} b^{3} - a^{6} - b^{6} : (a - b) (a^{2} + ab + b^{2}) (b - a) (b^{2} + ab + a^{2})

= - (a - b) (a^{2} + ab + b^{2}) (b - a) (b^{2} + ab + a^{2})

Simplify

- (a - b) (a^{2} + ab + b^{2}) (b - a) (b^{2} + ab + a^{2}) : - (a - b) (b - a) (a^{2} + ab + b^{2})^{2}

= - (a - b) (b - a) (a^{2} + ab + b^{2})^{2}

Simplify

- (a - b) (b - a) (a^{2} + ab + b^{2})^{2} : (a - b)^{2} (a^{2} + ab + b^{2})^{2}

= (a - b)^{2} (a^{2} + ab + b^{2})^{2}

\frac{1}{3} \cdot (- 9)

\frac{50}{2}

- (\frac{7}{2})^{2}

96 \div 12

- 5 y^{2}

What is factor-2a^3b^3+a^6+b^6 ?
The solution to factor-2a^3b^3+a^6+b^6 is (a-b)^2(a^2+ab+b^2)^2