What is expand ((X-2)2)/((X^2Z^3)3) ?

The solution to expand ((X-2)2)/((X^2Z^3)3) is 2/(3XZ^3)-4/(3X^2Z^3)

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expand ((X-2)2)/((X^2Z^3)3)

expand

\frac{( X - 2 ) 2}{( X ^{2} Z ^{3} ) 3}

\frac{2}{3 X Z ^{3}} - \frac{4}{3 X ^{2} Z ^{3}}

Solution steps

\frac{( X - 2 ) \cdot 2}{( X ^{2} Z ^{3} ) \cdot 3}

Remove parentheses:

(a) = a

= \frac{( X - 2 ) \cdot 2}{X ^{2} Z ^{3} \cdot 3}

Expand

(X - 2) \cdot 2 : 2 X - 4

= \frac{2 X - 4}{3 X ^{2} Z ^{3}}

Apply the fraction rule:

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

\frac{2 X - 4}{X ^{2} Z ^{3} \cdot 3} = \frac{2 X}{X ^{2} Z ^{3} \cdot 3} - \frac{4}{X ^{2} Z ^{3} \cdot 3}

= \frac{2 X}{3 X ^{2} Z ^{3}} - \frac{4}{3 X ^{2} Z ^{3}}

Cancel

\frac{2 X}{X ^{2} Z ^{3} \cdot 3} : \frac{2}{3 X Z ^{3}}

= \frac{2}{3 X Z ^{3}} - \frac{4}{3 X ^{2} Z ^{3}}

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

(x^{2}) \circ (x^{3} + x^{2})

(y + ey)^{3}

\frac{5}{s ^{2} ( s - 1 )}

\frac{4}{( ( s - 3 ) ( s ^{2} + 9 ) )}

What is expand ((X-2)2)/((X^2Z^3)3) ?
The solution to expand ((X-2)2)/((X^2Z^3)3) is 2/(3XZ^3)-4/(3X^2Z^3)