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

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

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

factor

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

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

Solution steps

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

Apply exponent rule:

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

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

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

Rewrite

15

5 \cdot 3

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

Factor out common term

3 x^{2} y^{2}

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

11 \times 11 \times 11

8.7 \cdot 9.6 + 3.5 \cdot 8.7 - 8.7 \cdot 3.1

(2 x - 3) (3 x - 9)

+ 7 x - 49

2 \times \frac{1}{6}

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