What is factor 6x^8y^2+12x^2y^2 ?

The solution to factor 6x^8y^2+12x^2y^2 is 6x^2y^2(x^6+2)

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factor 6x^8y^2+12x^2y^2

factor

6 x^{8} y^{2} + 12 x^{2} y^{2}

6 x^{2} y^{2} (x^{6} + 2)

Solution steps

6 x^{8} y^{2} + 12 x^{2} y^{2}

Apply exponent rule:

a^{b + c} = a^{b} a^{c}

x^{8} y^{2} = x^{2} x^{6} y^{2}

= 6 x^{2} x^{6} y^{2} + 12 x^{2} y^{2}

Rewrite

12

2 \cdot 6

= 6 x^{2} x^{6} y^{2} + 2 \cdot 6 x^{2} y^{2}

Factor out common term

6 x^{2} y^{2}

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

2 x^{2} + 15 x - 27

\frac{75 x ^{3} y ^{3}}{25 x y ^{4}}

2 - 2

216 k^{3} - 125

What is factor 6x^8y^2+12x^2y^2 ?
The solution to factor 6x^8y^2+12x^2y^2 is 6x^2y^2(x^6+2)