What is expand (f(x+h)-f(7x^2-6))/h ?

The solution to expand (f(x+h)-f(7x^2-6))/h is (fx)/h+f-(7fx^2)/h+(6f)/h

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expand (f(x+h)-f(7x^2-6))/h

expand

\frac{f ( x + h ) - f ( 7 x ^{2} - 6 )}{h}

\frac{f x}{h} + f - \frac{7 f x ^{2}}{h} + \frac{6 f}{h}

Solution steps

\frac{f ( x + h ) - f ( 7 x ^{2} - 6 )}{h}

Expand

f (x + h) - f (7 x^{2} - 6) : f x + f h - 7 f x^{2} + 6 f

= \frac{f x + f h - 7 f x ^{2} + 6 f}{h}

Apply the fraction rule:

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

\frac{f x + f h - 7 f x ^{2} + 6 f}{h} = \frac{f x}{h} + \frac{f h}{h} - \frac{7 f x ^{2}}{h} + \frac{6 f}{h}

= \frac{f x}{h} + \frac{f h}{h} - \frac{7 f x ^{2}}{h} + \frac{6 f}{h}

Cancel

\frac{f h}{h} : f

= \frac{f x}{h} + f - \frac{7 f x ^{2}}{h} + \frac{6 f}{h}

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What is expand (f(x+h)-f(7x^2-6))/h ?
The solution to expand (f(x+h)-f(7x^2-6))/h is (fx)/h+f-(7fx^2)/h+(6f)/h