What is expand (x-9/2)^3 ?

The solution to expand (x-9/2)^3 is (8x^3+486x-108x^2-729)/8

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expand (x-9/2)^3

expand

(x - \frac{9}{2})^{3}

\frac{8 x ^{3} + 486 x - 108 x ^{2} - 729}{8}

Solution steps

(x - \frac{9}{2})^{3}

Apply Perfect Cube Formula:

(a - b)^{3} = a^{3} - 3 a^{2} b + 3 a b^{2} - b^{3}

(x - \frac{9}{2})^{3} = x^{3} - 3 x^{2} \frac{9}{2} + 3 x (\frac{9}{2})^{2} - (\frac{9}{2})^{3}

= x^{3} - 3 x^{2} \frac{9}{2} + 3 x (\frac{9}{2})^{2} - (\frac{9}{2})^{3}

Simplify

x^{3} - 3 x^{2} \frac{9}{2} + 3 x (\frac{9}{2})^{2} - (\frac{9}{2})^{3} : \frac{8 x ^{3} + 486 x - 108 x ^{2} - 729}{8}

= \frac{8 x ^{3} + 486 x - 108 x ^{2} - 729}{8}

A (8, - 9)

(x^{2} \circ x - 5) (x)

\frac{1}{4} (2 x + 3 y) - \frac{2 y - x}{12} - \frac{2}{3} (x - y)

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

sin ((π - 1) n)

What is expand (x-9/2)^3 ?
The solution to expand (x-9/2)^3 is (8x^3+486x-108x^2-729)/8