What is factor 6x^5y^5+sqrt(2)x^2y^3+14xy^3 ?

The solution to factor 6x^5y^5+sqrt(2)x^2y^3+14xy^3 is xy^3(6x^4y^2+sqrt(2)x+14)

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factor 6x^5y^5+sqrt(2)x^2y^3+14xy^3

factor

6 x^{5} y^{5} + 2 x^{2} y^{3} + 14 x y^{3}

x y^{3} (6 x^{4} y^{2} + 2 x + 14)

Solution steps

6 x^{5} y^{5} + 2 x^{2} y^{3} + 14 x y^{3}

Apply exponent rule:

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

x^{5} y^{5} = x x^{4} y^{3} y^{2}, x^{2} y^{3} = xx y^{3}

= 6 x x^{4} y^{3} y^{2} + 2 xx y^{3} + 14 x y^{3}

Factor out common term

x y^{3}

= x y^{3} (6 x^{4} y^{2} + 2 x + 14)

2 x^{1} + 5 x^{2} = 16

4^{8}

- 20 x y - 4 x^{2} + 4 x

x^{2} - 36 y^{2}

2.7 \cdot 6.2 - 9.3 \cdot 1.2 + 6.2 \cdot 9.3 - 1.2 \cdot 2.7

What is factor 6x^5y^5+sqrt(2)x^2y^3+14xy^3 ?
The solution to factor 6x^5y^5+sqrt(2)x^2y^3+14xy^3 is xy^3(6x^4y^2+sqrt(2)x+14)