What is factor 6x^3y^2-10xy^3+18x^2y ?

The solution to factor 6x^3y^2-10xy^3+18x^2y is 2xy(3x^2y-5y^2+9x)

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factor 6x^3y^2-10xy^3+18x^2y

factor

6 x^{3} y^{2} - 10 x y^{3} + 18 x^{2} y

2 x y (3 x^{2} y - 5 y^{2} + 9 x)

Solution steps

6 x^{3} y^{2} - 10 x y^{3} + 18 x^{2} y

Apply exponent rule:

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

x^{3} y^{2} = x x^{2} yy, x y^{3} = x y y^{2}, x^{2} y = xx y

= 6 xxx yy - 10 x y y^{2} + 18 xx y

Rewrite

18

9 \cdot 2

Rewrite

- 10

5 \cdot 2

= 3 \cdot 2 xxx yy + 5 \cdot 2 x y y^{2} + 9 \cdot 2 xx y

Factor out common term

2 x y

= 2 x y (3 x^{2} y - 5 y^{2} + 9 x)

y^{4} + x y

\frac{9}{3}

(3 + 2 i) (4 + 3 i)

\frac{- 35}{- 5}

- (- 6.5 y + 9 z + 4)

What is factor 6x^3y^2-10xy^3+18x^2y ?
The solution to factor 6x^3y^2-10xy^3+18x^2y is 2xy(3x^2y-5y^2+9x)