What is factor 12x^3y^5+16x^2y^3 ?

The solution to factor 12x^3y^5+16x^2y^3 is 4x^2y^3(3xy^2+4)

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factor 12x^3y^5+16x^2y^3

factor

12 x^{3} y^{5} + 16 x^{2} y^{3}

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

Solution steps

12 x^{3} y^{5} + 16 x^{2} y^{3}

Apply exponent rule:

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

x^{3} y^{5} = x^{2} x y^{3} y^{2}

= 12 x^{2} x y^{3} y^{2} + 16 x^{2} y^{3}

Rewrite

16

4 \cdot 4

Rewrite

12

3 \cdot 4

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

Factor out common term

4 x^{2} y^{3}

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

6 x^{2} - x

\frac{x - 3}{2} - \frac{3 ( x - 4 )}{3} = \frac{4 ( x - 5 )}{5}

5 x + 6 = 9 x + 30

x + 1 = x + 1

a^{2} + 11 a = - 18

What is factor 12x^3y^5+16x^2y^3 ?
The solution to factor 12x^3y^5+16x^2y^3 is 4x^2y^3(3xy^2+4)