What is expand (x^2(x+2z))/(z*y) ?

The solution to expand (x^2(x+2z))/(z*y) is (x^3}{zy}+\frac{2x^2)/y

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expand (x^2(x+2z))/(z*y)

expand

\frac{x ^{2} ( x + 2 z )}{z \cdot y}

\frac{x ^{3}}{zy} + \frac{2 x ^{2}}{y}

Solution steps

\frac{x ^{2} ( x + 2 z )}{zy}

Expand

x^{2} (x + 2 z) : x^{3} + 2 x^{2} z

= \frac{x ^{3} + 2 x ^{2} z}{zy}

Apply the fraction rule:

\frac{a \pm b}{c} = \frac{a}{c} \pm \frac{b}{c}

\frac{x ^{3} + 2 x ^{2} z}{zy} = \frac{x ^{3}}{zy} + \frac{2 x ^{2} z}{zy}

= \frac{x ^{3}}{zy} + \frac{2 x ^{2} z}{zy}

Cancel

\frac{2 x ^{2} z}{zy} : \frac{2 x ^{2}}{y}

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

so l v e (2 x^{2} + 9 x - 5 = 0)

\frac{9 x ^{3}}{( x - 6 ) ^{2}}

\frac{3 ( x + 1 )}{x [ 2 ]}

5 - (9 x + 5 = 3 - x)

(a + b) (c + d) (e + f) (g + h)

What is expand (x^2(x+2z))/(z*y) ?
The solution to expand (x^2(x+2z))/(z*y) is (x^3}{zy}+\frac{2x^2)/y