What is expand (x^3-2x^2+x-1)(5-x) ?

The solution to expand (x^3-2x^2+x-1)(5-x) is -x^4+7x^3-11x^2+6x-5

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expand (x^3-2x^2+x-1)(5-x)

expand

(x^{3} - 2 x^{2} + x - 1) (5 - x)

- x^{4} + 7 x^{3} - 11 x^{2} + 6 x - 5

Solution steps

(x^{3} - 2 x^{2} + x - 1) (5 - x)

Distribute parentheses

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

Simplify

x^{3} \cdot 5 + x^{3} (- x) - 2 x^{2} \cdot 5 - 2 x^{2} (- x) + x \cdot 5 + x (- x) - 1 \cdot 5 - 1 \cdot (- x) : - x^{4} + 7 x^{3} - 11 x^{2} + 6 x - 5

= - x^{4} + 7 x^{3} - 11 x^{2} + 6 x - 5

- x^{2} + 2 x + 15

2 sin (x) - (\frac{( 4 sin ( x ) - cos ( x ) )}{2})

16 x^{4} - 54 y^{3}

\frac{( 6 m ^{2} + 8 m )}{( 3 m + 4 )}

5 x^{4} \cdot y^{5} - 24 x^{3} \cdot y^{3} \cdot z

What is expand (x^3-2x^2+x-1)(5-x) ?
The solution to expand (x^3-2x^2+x-1)(5-x) is -x^4+7x^3-11x^2+6x-5