What is expand (x^3-2x^2+1/2)^3 ?

The solution to expand (x^3-2x^2+1/2)^3 is x^9-6x^8+12x^7-(13x^6)/2-6x^5+6x^4-(3x^2)/2+(3x^3)/4+1/8

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expand (x^3-2x^2+1/2)^3

expand

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

x^{9} - 6 x^{8} + 12 x^{7} - \frac{13 x ^{6}}{2} - 6 x^{5} + 6 x^{4} - \frac{3 x ^{2}}{2} + \frac{3 x ^{3}}{4} + \frac{1}{8}

Solution steps

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

Simplify

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

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

Expand

(x^{3} - 2 x^{2} + \frac{1}{2}) (x^{3} - 2 x^{2} + \frac{1}{2}) : x^{6} - 4 x^{5} + 4 x^{4} + x^{3} - 2 x^{2} + \frac{1}{4}

= (x^{6} - 4 x^{5} + 4 x^{4} + x^{3} - 2 x^{2} + \frac{1}{4}) (x^{3} - 2 x^{2} + \frac{1}{2})

Distribute parentheses

= x^{6} x^{3} + x^{6} (- 2 x^{2}) + x^{6} \frac{1}{2} - 4 x^{5} x^{3} - 4 x^{5} (- 2 x^{2}) - 4 x^{5} \frac{1}{2} + 4 x^{4} x^{3} + 4 x^{4} (- 2 x^{2}) + 4 x^{4} \frac{1}{2} + x^{3} x^{3} + x^{3} (- 2 x^{2}) + x^{3} \frac{1}{2} - 2 x^{2} x^{3} - 2 x^{2} (- 2 x^{2}) - 2 x^{2} \frac{1}{2} + \frac{1}{4} x^{3} + \frac{1}{4} (- 2 x^{2}) + \frac{1}{4} \cdot \frac{1}{2}

Simplify

x^{6} x^{3} + x^{6} (- 2 x^{2}) + x^{6} \frac{1}{2} - 4 x^{5} x^{3} - 4 x^{5} (- 2 x^{2}) - 4 x^{5} \frac{1}{2} + 4 x^{4} x^{3} + 4 x^{4} (- 2 x^{2}) + 4 x^{4} \frac{1}{2} + x^{3} x^{3} + x^{3} (- 2 x^{2}) + x^{3} \frac{1}{2} - 2 x^{2} x^{3} - 2 x^{2} (- 2 x^{2}) - 2 x^{2} \frac{1}{2} + \frac{1}{4} x^{3} + \frac{1}{4} (- 2 x^{2}) + \frac{1}{4} \cdot \frac{1}{2} : x^{9} - 6 x^{8} + 12 x^{7} - \frac{13 x ^{6}}{2} - 6 x^{5} + 6 x^{4} - \frac{3 x ^{2}}{2} + \frac{3 x ^{3}}{4} + \frac{1}{8}

= x^{9} - 6 x^{8} + 12 x^{7} - \frac{13 x ^{6}}{2} - 6 x^{5} + 6 x^{4} - \frac{3 x ^{2}}{2} + \frac{3 x ^{3}}{4} + \frac{1}{8}

A (0, - 5) y B (2.5, 0)

\frac{x ^{2} + 6 x}{( x + 3 ) ^{2}}

\frac{d ^{2}}{d x ^{2}} ((y) (- 2 x^{2} + 5 x))

- \frac{14}{( x - 7 ) ^{2}}

h (\frac{3 x + 5}{x + 1} + 2)

What is expand (x^3-2x^2+1/2)^3 ?
The solution to expand (x^3-2x^2+1/2)^3 is x^9-6x^8+12x^7-(13x^6)/2-6x^5+6x^4-(3x^2)/2+(3x^3)/4+1/8