What is factor 6x^3*y^2+9x^2*y^3-3x^2*y^2 ?

The solution to factor 6x^3*y^2+9x^2*y^3-3x^2*y^2 is 3x^2y^2(2x+3y-1)

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factor 6x^3y^2+9x^2y^3-3x^2*y^2

factor

6 x^{3} \cdot y^{2} + 9 x^{2} \cdot y^{3} - 3 x^{2} \cdot y^{2}

3 x^{2} y^{2} (2 x + 3 y - 1)

Solution steps

6 x^{3} y^{2} + 9 x^{2} y^{3} - 3 x^{2} y^{2}

Apply exponent rule:

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

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

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

Rewrite

9

3 \cdot 3

Rewrite

6

2 \cdot 3

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

Factor out common term

3 x^{2} y^{2}

= 3 x^{2} y^{2} (2 x + 3 y - 1)

\frac{m}{n ( \frac{y}{2} + m + 6 )}

\frac{( n - 2 ) !}{( n - 3 ) !}

\frac{\frac{3}{x}}{\frac{1}{2}}

2^{\frac{1}{- n}}

- 4 x^{2}

What is factor 6x^3*y^2+9x^2*y^3-3x^2*y^2 ?
The solution to factor 6x^3*y^2+9x^2*y^3-3x^2*y^2 is 3x^2y^2(2x+3y-1)