What is factor 6x^2y^3+9xy^4+18y^5 ?

The solution to factor 6x^2y^3+9xy^4+18y^5 is 3y^3(2x^2+3xy+6y^2)

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factor 6x^2y^3+9xy^4+18y^5

factor

6 x^{2} y^{3} + 9 x y^{4} + 18 y^{5}

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

Solution steps

6 x^{2} y^{3} + 9 x y^{4} + 18 y^{5}

Apply exponent rule:

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

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

= 6 x^{2} y^{3} + 9 y^{3} y + 18 y^{3} y^{2}

Rewrite

18

6 \cdot 3

Rewrite

9

3 \cdot 3

= 2 \cdot 3 x^{2} y^{3} + 3 \cdot 3 y^{3} y + 2 \cdot 3 \cdot 3 y^{3} y^{2}

Factor out common term

3 y^{3}

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

2 x - 3 (0) = 6

3 \cdot 1 0^{3}

2 4^{2} + 1 8^{2} = c^{2}

\frac{13}{\frac{1}{2}}

a^{2} + 4 a + 3

What is factor 6x^2y^3+9xy^4+18y^5 ?
The solution to factor 6x^2y^3+9xy^4+18y^5 is 3y^3(2x^2+3xy+6y^2)