What is factor+3x^6y^2+81y^2 ?

The solution to factor+3x^6y^2+81y^2 is 3y^2(x^2+3)(x^2+3x+3)(x^2-3x+3)

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factor+3x^6y^2+81y^2

factor

+ 3 x^{6} y^{2} + 81 y^{2}

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

Solution steps

3 x^{6} y^{2} + 81 y^{2}

Factor out common term

3 y^{2} : 3 y^{2} (x^{6} + 27)

= 3 y^{2} (x^{6} + 27)

Factor

x^{6} + 27 : (x^{2} + 3) (x^{2} + 3 + 3 x) (x^{2} + 3 - 3 x)

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

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

- - 31

- - 58

- - 41

- 7 \times 5

5 \times 5 \times 5 \times 5 \times 5 \times 5

What is factor+3x^6y^2+81y^2 ?
The solution to factor+3x^6y^2+81y^2 is 3y^2(x^2+3)(x^2+3x+3)(x^2-3x+3)