What is expand-(21(x+h)^3)/2 ?

The solution to expand-(21(x+h)^3)/2 is -(21x^3)/2-(63x^2h)/2-(63xh^2)/2-(21h^3)/2

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expand-(21(x+h)^3)/2

expand

- \frac{21 ( x + h ) ^{3}}{2}

- \frac{21 x ^{3}}{2} - \frac{63 x ^{2} h}{2} - \frac{63 x h ^{2}}{2} - \frac{21 h ^{3}}{2}

Solution steps

- \frac{21 ( x + h ) ^{3}}{2}

(x + h)^{3} = x^{3} + 3 x^{2} h + 3 x h^{2} + h^{3}

= - \frac{21 ( x ^{3} + 3 x ^{2} h + 3 x h ^{2} + h ^{3} )}{2}

Expand

21 (x^{3} + 3 x^{2} h + 3 x h^{2} + h^{3}) : 21 x^{3} + 63 x^{2} h + 63 x h^{2} + 21 h^{3}

= - \frac{21 x ^{3} + 63 x ^{2} h + 63 x h ^{2} + 21 h ^{3}}{2}

Apply the fraction rule:

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

\frac{21 x ^{3} + 63 x ^{2} h + 63 x h ^{2} + 21 h ^{3}}{2} = - (\frac{21 x ^{3}}{2}) - (\frac{63 x ^{2} h}{2}) - (\frac{63 x h ^{2}}{2}) - (\frac{21 h ^{3}}{2})

= - (\frac{21 x ^{3}}{2}) - (\frac{63 x ^{2} h}{2}) - (\frac{63 x h ^{2}}{2}) - (\frac{21 h ^{3}}{2})

Remove parentheses:

(a) = a

= - \frac{21 x ^{3}}{2} - \frac{63 x ^{2} h}{2} - \frac{63 x h ^{2}}{2} - \frac{21 h ^{3}}{2}

cos (θ - (2 k + 1) π)

\frac{2 ( 19 - 8 )}{3}

(6 - 2 y - 3 z)^{2} (yz)

- \frac{1}{3} + (- 1)

d (62 \cdot 12.45)

What is expand-(21(x+h)^3)/2 ?
The solution to expand-(21(x+h)^3)/2 is -(21x^3)/2-(63x^2h)/2-(63xh^2)/2-(21h^3)/2