What is factor 20x^3y^2+15x^2y^3 ?

The solution to factor 20x^3y^2+15x^2y^3 is 5x^2y^2(4x+3y)

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factor 20x^3y^2+15x^2y^3

factor

20 x^{3} y^{2} + 15 x^{2} y^{3}

5 x^{2} y^{2} (4 x + 3 y)

Solution steps

20 x^{3} y^{2} + 15 x^{2} y^{3}

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

= 20 x^{2} x y^{2} + 15 x^{2} y^{2} y

Rewrite

15

3 \cdot 5

Rewrite

20

4 \cdot 5

= 4 \cdot 5 x^{2} x y^{2} + 3 \cdot 5 x^{2} y^{2} y

Factor out common term

5 x^{2} y^{2}

= 5 x^{2} y^{2} (4 x + 3 y)

- 3 x + 18 x + 81

2 x^{2} = 162

9 x \leq - 27 or 4 x \geq 36

(x - 4) (x + 5) = 10

x^{2} - 3 > 6

What is factor 20x^3y^2+15x^2y^3 ?
The solution to factor 20x^3y^2+15x^2y^3 is 5x^2y^2(4x+3y)