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

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

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

expand

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

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

Solution steps

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

Expand

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

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

Apply the fraction rule:

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

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

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

(a + b + c + d + e)^{2}

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

(3 x - 3) (3 x + 3)

(1 - x) (1 + x)

(1 + 2 e^{t})^{3}

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