What is expand (x-x^2)(sin(x)+x^2-15) ?

The solution to expand (x-x^2)(sin(x)+x^2-15) is xsin(x)+x^3-15x-x^2sin(x)-x^4+15x^2

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expand (x-x^2)(sin(x)+x^2-15)

expand

(x - x^{2}) (sin (x) + x^{2} - 15)

x sin (x) + x^{3} - 15 x - x^{2} sin (x) - x^{4} + 15 x^{2}

Solution steps

(x - x^{2}) (sin (x) + x^{2} - 15)

Distribute parentheses

= x sin (x) + x x^{2} + x (- 15) - x^{2} sin (x) - x^{2} x^{2} - x^{2} (- 15)

Simplify

x sin (x) + x x^{2} + x (- 15) - x^{2} sin (x) - x^{2} x^{2} - x^{2} (- 15) : x sin (x) + x^{3} - 15 x - x^{2} sin (x) - x^{4} + 15 x^{2}

= x sin (x) + x^{3} - 15 x - x^{2} sin (x) - x^{4} + 15 x^{2}

(x - 5 - 2) (3 + x)

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

\frac{2 x ^{3} - 6}{x ( x ^{2} + 3 x + 8 ) ( x ^{2} + x + 1 )}

(- 2, - 1) y (- 2, 9)

\frac{x - 1}{2 ( x - 4 ) ^{2}}

What is expand (x-x^2)(sin(x)+x^2-15) ?
The solution to expand (x-x^2)(sin(x)+x^2-15) is xsin(x)+x^3-15x-x^2sin(x)-x^4+15x^2