What is expand (sqrt(2(a+h)-1)-sqrt(2a-1))/h ?

The solution to expand (sqrt(2(a+h)-1)-sqrt(2a-1))/h is (sqrt(2a+2h-1))/h-(sqrt(2a-1))/h

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expand (sqrt(2(a+h)-1)-sqrt(2a-1))/h

expand

\frac{2 ( a + h ) - 1 - 2 a - 1}{h}

\frac{2 a + 2 h - 1}{h} - \frac{2 a - 1}{h}

Solution steps

\frac{2 ( a + h ) - 1 - 2 a - 1}{h}

Expand

2 (a + h) - 1 : 2 a + 2 h - 1

= \frac{2 h + 2 a - 1 - 2 a - 1}{h}

Apply the fraction rule:

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

\frac{2 a + 2 h - 1 - 2 a - 1}{h} = \frac{2 a + 2 h - 1}{h} - \frac{2 a - 1}{h}

= \frac{2 h + 2 a - 1}{h} - \frac{2 a - 1}{h}

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What is expand (sqrt(2(a+h)-1)-sqrt(2a-1))/h ?
The solution to expand (sqrt(2(a+h)-1)-sqrt(2a-1))/h is (sqrt(2a+2h-1))/h-(sqrt(2a-1))/h