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

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

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

expand

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

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

Solution steps

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

Expand

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

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

Apply the fraction rule:

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

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

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

\frac{s + 3}{( s + 1 ) ( s + 2 ) ^{2} ( s + 4 )}

f (- 8 sec (x) tan (x) + 9 sec^{2} (x)) d x

\frac{( 1 + 2 x ) ^{3}}{x ^{4}}

\frac{x ^{5} + 2 x}{( x - 2 ) ( x - 1 )}

e^{6 t} (6 e^{- 6 t} + C)

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