What is expand ((5x^2-15))/(10x) ?

The solution to expand ((5x^2-15))/(10x) is x/2-3/(2x)

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expand ((5x^2-15))/(10x)

expand

\frac{( 5 x ^{2} - 15 )}{10 x}

\frac{x}{2} - \frac{3}{2 x}

Solution steps

\frac{5 x ^{2} - 15}{10 x}

Factor

5 x^{2} - 15 : 5 (x^{2} - 3)

= \frac{5 ( x ^{2} - 3 )}{10 x}

Cancel the common factor:

5

= \frac{x ^{2} - 3}{2 x}

Apply the fraction rule:

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

\frac{x ^{2} - 3}{2 x} = \frac{x ^{2}}{2 x} - \frac{3}{2 x}

= \frac{x ^{2}}{2 x} - \frac{3}{2 x}

Cancel

\frac{x ^{2}}{2 x} : \frac{x}{2}

= \frac{x}{2} - \frac{3}{2 x}

\frac{2 ( x - 1 )}{x + 5}

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

e^{- 0.5 x} \cdot (4 - x) - 2

- (- 3^{2})

\frac{2 ( b + 5500 )}{5}

What is expand ((5x^2-15))/(10x) ?
The solution to expand ((5x^2-15))/(10x) is x/2-3/(2x)