What is factor 9x^3y^2+36x^2y^3 ?

The solution to factor 9x^3y^2+36x^2y^3 is 9x^2y^2(x+4y)

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factor 9x^3y^2+36x^2y^3

factor

9 x^{3} y^{2} + 36 x^{2} y^{3}

9 x^{2} y^{2} (x + 4 y)

Solution steps

9 x^{3} y^{2} + 36 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

= 9 x^{2} x y^{2} + 36 x^{2} y^{2} y

Rewrite

36

4 \cdot 9

= 9 x^{2} x y^{2} + 4 \cdot 9 x^{2} y^{2} y

Factor out common term

9 x^{2} y^{2}

= 9 x^{2} y^{2} (x + 4 y)

(3 - \frac{y}{5})^{2}

3.14 \cdot 3. 5^{2}

(\frac{2 - x}{2})^{2}

(3 x^{2} + 2 x + 1)^{2}

27 x^{3} y^{3} - 1

What is factor 9x^3y^2+36x^2y^3 ?
The solution to factor 9x^3y^2+36x^2y^3 is 9x^2y^2(x+4y)