What is expand ((sqrt(a(x+h)+b))-(sqrt(ax+b)))/h ?

The solution to expand ((sqrt(a(x+h)+b))-(sqrt(ax+b)))/h is (sqrt(ax+ah+b))/h-(sqrt(ax+b))/h

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expand ((sqrt(a(x+h)+b))-(sqrt(ax+b)))/h

expand

\frac{( a ( x + h ) + b ) - ( a x + b )}{h}

\frac{a x + ah + b}{h} - \frac{a x + b}{h}

Solution steps

\frac{( a ( x + h ) + b ) - ( a x + b )}{h}

Remove parentheses:

(a) = a

= \frac{a ( x + h ) + b - a x + b}{h}

Expand

a (x + h) + b : a x + ah + b

= \frac{a x + ah + b - a x + b}{h}

Apply the fraction rule:

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

\frac{a x + ah + b - a x + b}{h} = \frac{a x + ah + b}{h} - \frac{a x + b}{h}

= \frac{a x + ah + b}{h} - \frac{a x + b}{h}

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\frac{x ^{2} + 5 x - 1}{( x ^{2} + 3 ) ^{2}}

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What is expand ((sqrt(a(x+h)+b))-(sqrt(ax+b)))/h ?
The solution to expand ((sqrt(a(x+h)+b))-(sqrt(ax+b)))/h is (sqrt(ax+ah+b))/h-(sqrt(ax+b))/h