What is expand ((x-4)(x+4))/(4x) ?

The solution to expand ((x-4)(x+4))/(4x) is x/4-4/x

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expand ((x-4)(x+4))/(4x)

expand

\frac{( x - 4 ) ( x + 4 )}{4 x}

\frac{x}{4} - \frac{4}{x}

Solution steps

\frac{( x - 4 ) ( x + 4 )}{4 x}

Expand

(x - 4) (x + 4) : x^{2} - 16

= \frac{x ^{2} - 16}{4 x}

Apply the fraction rule:

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

\frac{x ^{2} - 16}{4 x} = \frac{x ^{2}}{4 x} - \frac{16}{4 x}

= \frac{x ^{2}}{4 x} - \frac{16}{4 x}

Cancel

\frac{x ^{2}}{4 x} : \frac{x}{4}

= \frac{x}{4} - \frac{16}{4 x}

Divide the numbers:

\frac{16}{4} = 4

= \frac{x}{4} - \frac{4}{x}

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

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

l imh \Rightarrow 0 (3 + h) 3 - 27 h

2 (3 x - 2 y = 17)

4 x + 1 + 2 x + 7

What is expand ((x-4)(x+4))/(4x) ?
The solution to expand ((x-4)(x+4))/(4x) is x/4-4/x