What is expand (sqrt(4(x+h)-5)-(sqrt(4(x)-5)))/h ?

The solution to expand (sqrt(4(x+h)-5)-(sqrt(4(x)-5)))/h is (sqrt(4x+4h-5))/h-(sqrt(4x-5))/h

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expand (sqrt(4(x+h)-5)-(sqrt(4(x)-5)))/h

expand

\frac{4 ( x + h ) - 5 - ( 4 ( x ) - 5 )}{h}

\frac{4 x + 4 h - 5}{h} - \frac{4 x - 5}{h}

Solution steps

\frac{4 ( x + h ) - 5 - ( 4 ( x ) - 5 )}{h}

Remove parentheses:

(a) = a

= \frac{4 ( x + h ) - 5 - 4 x - 5}{h}

Expand

4 (x + h) - 5 : 4 x + 4 h - 5

= \frac{4 x + 4 h - 5 - 4 x - 5}{h}

Apply the fraction rule:

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

\frac{4 x + 4 h - 5 - 4 x - 5}{h} = \frac{4 x + 4 h - 5}{h} - \frac{4 x - 5}{h}

= \frac{4 x + 4 h - 5}{h} - \frac{4 x - 5}{h}

\frac{180 ( x - 2 )}{x}

\frac{4 ^{n + 1} + ( n + 1 ) ^{2}}{4 ^{n} + n ^{2}}

\frac{1}{z ( e ^{z} - 1 ) ^{2}}

- 2 (- 2 e^{1 - x^{2}} x^{2} + e^{1 - x^{2}})

\frac{x - h y \cdot ( y _{2} - y _{3} )}{y _{4} \cdot y _{5}}

What is expand (sqrt(4(x+h)-5)-(sqrt(4(x)-5)))/h ?
The solution to expand (sqrt(4(x+h)-5)-(sqrt(4(x)-5)))/h is (sqrt(4x+4h-5))/h-(sqrt(4x-5))/h