What is expand (pi(x+h)3-pix^3)/h ?

The solution to expand (pi(x+h)3-pix^3)/h is (3pix)/h+3pi-(pix^3)/h

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expand (pi(x+h)3-pix^3)/h

expand

\frac{π ( x + h ) 3 - π x ^{3}}{h}

\frac{3 π x}{h} + 3 π - \frac{π x ^{3}}{h}

Solution steps

\frac{π ( x + h ) \cdot 3 - π x ^{3}}{h}

Expand

π (x + h) \cdot 3 - π x^{3} : 3 π x + 3 πh - π x^{3}

= \frac{3 π x + 3 πh - π x ^{3}}{h}

Apply the fraction rule:

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

\frac{3 π x + 3 πh - π x ^{3}}{h} = \frac{3 π x}{h} + \frac{3 πh}{h} - \frac{π x ^{3}}{h}

= \frac{3 π x}{h} + \frac{3 πh}{h} - \frac{π x ^{3}}{h}

Cancel

\frac{3 πh}{h} : 3 π

= \frac{3 π x}{h} + 3 π - \frac{π x ^{3}}{h}

(1 + 2 j) (\circ - j)

9 δ (x - 2)

ln (x + e^{x}) + \frac{( x + 2 ) ( 1 + e ^{x} )}{x + e ^{x}}

\frac{( 23 x ^{2} - x - 1 )}{3 x ( x - 1 ) ^{2}}

What is expand (pi(x+h)3-pix^3)/h ?
The solution to expand (pi(x+h)3-pix^3)/h is (3pix)/h+3pi-(pix^3)/h