What is expand (sqrt(2(x+h)+5)-sqrt(2x+5))/h ?

The solution to expand (sqrt(2(x+h)+5)-sqrt(2x+5))/h is (sqrt(2x+2h+5))/h-(sqrt(2x+5))/h

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expand (sqrt(2(x+h)+5)-sqrt(2x+5))/h

expand

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

\frac{2 x + 2 h + 5}{h} - \frac{2 x + 5}{h}

Solution steps

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

Expand

2 (x + h) + 5 : 2 x + 2 h + 5

= \frac{2 x + 2 h + 5 - 2 x + 5}{h}

Apply the fraction rule:

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

\frac{2 x + 2 h + 5 - 2 x + 5}{h} = \frac{2 x + 2 h + 5}{h} - \frac{2 x + 5}{h}

= \frac{2 x + 2 h + 5}{h} - \frac{2 x + 5}{h}

10 (\frac{2}{5} + 3 x)

\frac{6 x ^{2} + 50}{( x + 3 ) ( x ^{2} + 4 )}

(x + \frac{9}{4})^{2}

(\frac{9}{x} - x) (\frac{9}{x} + x)

(3 - 5)^{5}

What is expand (sqrt(2(x+h)+5)-sqrt(2x+5))/h ?
The solution to expand (sqrt(2(x+h)+5)-sqrt(2x+5))/h is (sqrt(2x+2h+5))/h-(sqrt(2x+5))/h