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

The solution to (((x+h)^3)/2)-((x^3)/2) is (3x^2h+3xh^2+h^3)/2

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simplify (((x+h)^3)/2)-((x^3)/2)

simplify

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

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

Solution steps

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

Simplify

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

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

Join

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

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

Expand

(x + h)^{3} - x^{3} : 3 x^{2} h + 3 x h^{2} + h^{3}

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

7 (x - 2 y)

\frac{1}{( x ^{\frac{1}{3}} ) + x ^{\frac{1}{2}}}^{7}

(4 x + 6 y)^{3}

\frac{2 x 1 0 ^{21}}{1 0 ^{- 2}}

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

What is (((x+h)^3)/2)-((x^3)/2) ?
The solution to (((x+h)^3)/2)-((x^3)/2) is (3x^2h+3xh^2+h^3)/2