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

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

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

expand

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

\frac{4 f x}{h} + f - \frac{4 x}{h}

Solution steps

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

Expand

f (4 x + h) - 4 x : 4 f x + f h - 4 x

= \frac{4 f x + f h - 4 x}{h}

Apply the fraction rule:

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

\frac{4 f x + f h - 4 x}{h} = \frac{4 f x}{h} + \frac{f h}{h} - \frac{4 x}{h}

= \frac{4 f x}{h} + \frac{f h}{h} - \frac{4 x}{h}

Cancel

\frac{f h}{h} : f

= \frac{4 f x}{h} + f - \frac{4 x}{h}

(4, - 7) y (1, 1)

\frac{( 5 x + 31 )}{( ( x + 2 ) ( x + 5 ) )}

\frac{( x + 4 ) ( x - 7 )}{x - 3}

\frac{3 ( 161 - 13 )}{8}

(\frac{9 π ^{2}}{4} + 1)^{2}

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