What is factor 30x^3y+35x^2y^3 ?

The solution to factor 30x^3y+35x^2y^3 is 5x^2y(6x+7y^2)

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factor 30x^3y+35x^2y^3

factor

30 x^{3} y + 35 x^{2} y^{3}

5 x^{2} y (6 x + 7 y^{2})

Solution steps

30 x^{3} y + 35 x^{2} y^{3}

Apply exponent rule:

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

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

= 30 x^{2} x y + 35 x^{2} y y^{2}

Rewrite

35

7 \cdot 5

Rewrite

30

6 \cdot 5

= 6 \cdot 5 x^{2} x y + 7 \cdot 5 x^{2} y y^{2}

Factor out common term

5 x^{2} y

= 5 x^{2} y (6 x + 7 y^{2})

- 6 k^{2} - 13 k - 6

\frac{x}{4} + 11 \geq 8

- 1 - 6 x < 7

7 x^{2} y - 4 x y

0.25 \cdot 2

What is factor 30x^3y+35x^2y^3 ?
The solution to factor 30x^3y+35x^2y^3 is 5x^2y(6x+7y^2)