What is factor 15x^3y^3+30x^3y^2-90x^2y ?

The solution to factor 15x^3y^3+30x^3y^2-90x^2y is 15x^2y(xy^2+2xy-6)

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factor 15x^3y^3+30x^3y^2-90x^2y

factor

15 x^{3} y^{3} + 30 x^{3} y^{2} - 90 x^{2} y

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

Solution steps

15 x^{3} y^{3} + 30 x^{3} y^{2} - 90 x^{2} y

Apply exponent rule:

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

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

= 15 x^{2} x y y^{2} + 30 x^{2} x yy - 90 x^{2} y

Rewrite

- 90

6 \cdot 15

Rewrite

30

2 \cdot 15

= 15 x^{2} x y y^{2} + 2 \cdot 15 x^{2} x yy + 6 \cdot 15 x^{2} y

Factor out common term

15 x^{2} y

= 15 x^{2} y (x y^{2} + 2 x y - 6)

\frac{3 x + 5}{- 2} \leq 3 x + 4

2 x (x - 3) = 0

3 (2 a - 3) = 5 (a + 2)

\frac{3 x - 1}{6} + \frac{x + 1}{12} = - 3

\frac{2}{x + 2} > \frac{1}{x - 3}

What is factor 15x^3y^3+30x^3y^2-90x^2y ?
The solution to factor 15x^3y^3+30x^3y^2-90x^2y is 15x^2y(xy^2+2xy-6)