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

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

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

expand

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

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

Solution steps

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

Expand

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

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

Apply the fraction rule:

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

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

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

5 \cdot (2 x + 3) x + 54

(4 u + v) (4 u - v)

(6 x + 5 y = - 1, 7) (5 x - 12 y = 2)

\frac{5 x ^{2} y ( x y z ^{6} + 3 x ^{4} y ^{4} z ^{4} - 5 )}{z ^{2}}

1 + \frac{1}{2} (e^{- \frac{x}{20}} - e^{\frac{x}{20}})

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