What is expand (sqrt(2(x+h)+3)-sqrt(2x+3))/h ?

The solution to expand (sqrt(2(x+h)+3)-sqrt(2x+3))/h is (sqrt(2x+2h+3))/h-(sqrt(2x+3))/h

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expand (sqrt(2(x+h)+3)-sqrt(2x+3))/h

expand

\frac{2 ( x + h ) + 3 - 2 x + 3}{h}

\frac{2 x + 2 h + 3}{h} - \frac{2 x + 3}{h}

Solution steps

\frac{2 ( x + h ) + 3 - 2 x + 3}{h}

Expand

2 (x + h) + 3 : 2 x + 2 h + 3

= \frac{2 x + 2 h + 3 - 2 x + 3}{h}

Apply the fraction rule:

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

\frac{2 x + 2 h + 3 - 2 x + 3}{h} = \frac{2 x + 2 h + 3}{h} - \frac{2 x + 3}{h}

= \frac{2 x + 2 h + 3}{h} - \frac{2 x + 3}{h}

\frac{( 1 + x ^{2} ) ^{7}}{x ^{2}}

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

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

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What is expand (sqrt(2(x+h)+3)-sqrt(2x+3))/h ?
The solution to expand (sqrt(2(x+h)+3)-sqrt(2x+3))/h is (sqrt(2x+2h+3))/h-(sqrt(2x+3))/h