What is expand (sqrt(3(x+h)+1)-sqrt(3x+1))/h ?

The solution to expand (sqrt(3(x+h)+1)-sqrt(3x+1))/h is (sqrt(3x+3h+1))/h-(sqrt(3x+1))/h

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expand (sqrt(3(x+h)+1)-sqrt(3x+1))/h

expand

\frac{3 ( x + h ) + 1 - 3 x + 1}{h}

\frac{3 x + 3 h + 1}{h} - \frac{3 x + 1}{h}

Solution steps

\frac{3 ( x + h ) + 1 - 3 x + 1}{h}

Expand

3 (x + h) + 1 : 3 x + 3 h + 1

= \frac{3 x + 3 h + 1 - 3 x + 1}{h}

Apply the fraction rule:

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

\frac{3 x + 3 h + 1 - 3 x + 1}{h} = \frac{3 x + 3 h + 1}{h} - \frac{3 x + 1}{h}

= \frac{3 x + 3 h + 1}{h} - \frac{3 x + 1}{h}

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What is expand (sqrt(3(x+h)+1)-sqrt(3x+1))/h ?
The solution to expand (sqrt(3(x+h)+1)-sqrt(3x+1))/h is (sqrt(3x+3h+1))/h-(sqrt(3x+1))/h