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

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

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

expand

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

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

Solution steps

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

Expand

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

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

Apply the fraction rule:

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

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

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

(y 6 - 3) (y 6 + 3)

\frac{4 ( 3 s + 1 )}{( 3 s + 2 ) ( s + 1 ) ( 5 s + 7 )}

(2 - 2)^{5}

\frac{( 3 x - 6 ) ^{3}}{8}

P (- 7, 2) Q (5, - 3)

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