What is factor 3x^3y^2+9x^2y^2-18xy^2 ?

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

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factor 3x^3y^2+9x^2y^2-18xy^2

factor

3 x^{3} y^{2} + 9 x^{2} y^{2} - 18 x y^{2}

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

Solution steps

3 x^{3} y^{2} + 9 x^{2} y^{2} - 18 x y^{2}

Apply exponent rule:

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

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

= 3 x x^{2} y^{2} + 9 xx y^{2} - 18 x y^{2}

Rewrite

- 18

6 \cdot 3

Rewrite

9

3 \cdot 3

= 3 x x^{2} y^{2} + 3 \cdot 3 xx y^{2} + 6 \cdot 3 x y^{2}

Factor out common term

3 x y^{2}

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

r^{2} - 24 r + 144 = 0

∣ (1 + i) (2 - i) ∣

\frac{7 y}{8} - \frac{3 y}{5} = \frac{11}{10}

4 x < - 8

3 x + 4 \geq 13

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