What is factor 5x^3y^3-10x^2y^2 ?

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

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factor 5x^3y^3-10x^2y^2

factor

5 x^{3} y^{3} - 10 x^{2} y^{2}

5 x^{2} y^{2} (x y - 2)

Solution steps

5 x^{3} y^{3} - 10 x^{2} y^{2}

Apply exponent rule:

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

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

= 5 x^{2} x y^{2} y - 10 x^{2} y^{2}

Rewrite

- 10

2 \cdot 5

= 5 x^{2} x y^{2} y + 2 \cdot 5 x^{2} y^{2}

Factor out common term

5 x^{2} y^{2}

= 5 x^{2} y^{2} (x y - 2)

25 x^{2} - 30 x - 40

2 z + 3 = \frac{2 z}{5}

8 x^{2} + 5 x = 0

m^{3} + 3 m^{2} - 16 m - 48

\frac{3 π}{4} + \frac{π}{4}

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