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

The solution to ((x^3y^2)+(2x^5y^3))/(xy) is x^2y(1+2x^2y)

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simplify ((x^3y^2)+(2x^5y^3))/(xy)

simplify

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

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

Solution steps

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

Simplify

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

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

Factor

x^{3} y^{2} + 2 x^{5} y^{3} : x^{3} y^{2} (1 + 2 x^{2} y)

= \frac{x ^{3} y ^{2} ( 1 + 2 x ^{2} y )}{x y}

Apply exponent rule:

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

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

= \frac{x x ^{2} y ^{2} ( 1 + 2 x ^{2} y )}{x y}

Cancel the common factor:

x

= \frac{x ^{2} y ^{2} ( 1 + 2 x ^{2} y )}{y}

Apply exponent rule:

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

y^{2} = yy

= \frac{x ^{2} yy ( 1 + 2 x ^{2} y )}{y}

Cancel the common factor:

y

= x^{2} y (1 + 2 x^{2} y)

- 4 \cdot 16

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

\frac{2 a}{6 a ^{2}} - \frac{a - 1}{2 a - 7}

\frac{5 3 - 2}{3 - 1}

(19 - 9 i) - (18 - 10 i)

What is ((x^3y^2)+(2x^5y^3))/(xy) ?
The solution to ((x^3y^2)+(2x^5y^3))/(xy) is x^2y(1+2x^2y)