What is expand (sqrt(4(x+h)-5)-sqrt(4x-5))/h ?

The solution to expand (sqrt(4(x+h)-5)-sqrt(4x-5))/h is (sqrt(4x+4h-5))/h-(sqrt(4x-5))/h

Popular >

expand (sqrt(4(x+h)-5)-sqrt(4x-5))/h

expand

\frac{4 ( x + h ) - 5 - 4 x - 5}{h}

\frac{4 x + 4 h - 5}{h} - \frac{4 x - 5}{h}

Solution steps

\frac{4 ( x + h ) - 5 - 4 x - 5}{h}

Expand

4 (x + h) - 5 : 4 x + 4 h - 5

= \frac{4 x + 4 h - 5 - 4 x - 5}{h}

Apply the fraction rule:

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

\frac{4 x + 4 h - 5 - 4 x - 5}{h} = \frac{4 x + 4 h - 5}{h} - \frac{4 x - 5}{h}

= \frac{4 x + 4 h - 5}{h} - \frac{4 x - 5}{h}

(a + b + c) (d + e)

3.42 e^{-} \cdot 79.7 (1 \cdot sin (225 x) + cos (225 x) \cdot 225 x)

\frac{\partial}{\partial x} ((u (x, t)) (3 x - 2 t))

\frac{3 x}{( 2 - x ) ( 4 + x ^{2} )}

\frac{( 16 x ^{6} - 9 ) ^{2}}{576 x ^{6}}

What is expand (sqrt(4(x+h)-5)-sqrt(4x-5))/h ?
The solution to expand (sqrt(4(x+h)-5)-sqrt(4x-5))/h is (sqrt(4x+4h-5))/h-(sqrt(4x-5))/h