What is (5x^3y+10x^2y^2)/(15x) ?

The solution to (5x^3y+10x^2y^2)/(15x) is (xy(x+2y))/3

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simplify (5x^3y+10x^2y^2)/(15x)

simplify

\frac{5 x ^{3} y + 10 x ^{2} y ^{2}}{15 x}

\frac{x y ( x + 2 y )}{3}

Solution steps

\frac{5 x ^{3} y + 10 x ^{2} y ^{2}}{15 x}

Factor

5 x^{3} y + 10 x^{2} y^{2} : 5 x^{2} y (x + 2 y)

= \frac{5 x ^{2} y ( x + 2 y )}{15 x}

Factor the number:

15 = 5 \cdot 3

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

Cancel the common factor:

5

= \frac{x ^{2} y ( x + 2 y )}{3 x}

Apply exponent rule:

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

x^{2} = xx

= \frac{xx y ( x + 2 y )}{3 x}

Cancel the common factor:

x

= \frac{x y ( x + 2 y )}{3}

(- 5)^{0}

3 + 2 u = 9

\frac{2 x + 3}{5 - x} \geq 0

\frac{x - 7}{2} > 1

2 x^{2} + 5 x \leq 0

What is (5x^3y+10x^2y^2)/(15x) ?
The solution to (5x^3y+10x^2y^2)/(15x) is (xy(x+2y))/3