What is expand (sqrt((x+h)^2+7)-sqrt(x^2+7))/h ?

The solution to expand (sqrt((x+h)^2+7)-sqrt(x^2+7))/h is (sqrt(x^2+2xh+h^2+7))/h-(sqrt(x^2+7))/h

Popular >

expand (sqrt((x+h)^2+7)-sqrt(x^2+7))/h

expand

\frac{( x + h ) ^{2} + 7 - x ^{2} + 7}{h}

\frac{x ^{2} + 2 x h + h ^{2} + 7}{h} - \frac{x ^{2} + 7}{h}

Solution steps

\frac{( x + h ) ^{2} + 7 - x ^{2} + 7}{h}

Expand

(x + h)^{2} + 7 : x^{2} + 2 x h + h^{2} + 7

= \frac{x ^{2} + 2 x h + h ^{2} + 7 - x ^{2} + 7}{h}

Apply the fraction rule:

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

\frac{x ^{2} + 2 x h + h ^{2} + 7 - x ^{2} + 7}{h} = \frac{x ^{2} + 2 x h + h ^{2} + 7}{h} - \frac{x ^{2} + 7}{h}

= \frac{x ^{2} + 2 x h + h ^{2} + 7}{h} - \frac{x ^{2} + 7}{h}

\frac{2 x + 1}{4 ( x ^{2} + x ) ^{\frac{5}{4}}}

(- 67 y - 97)^{2}

(3 X - 4 X^{2}) (6 X + 1)^{''}

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

What is expand (sqrt((x+h)^2+7)-sqrt(x^2+7))/h ?
The solution to expand (sqrt((x+h)^2+7)-sqrt(x^2+7))/h is (sqrt(x^2+2xh+h^2+7))/h-(sqrt(x^2+7))/h