What is expand x(x-1)(x-2)(x-3) ?

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

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expand x(x-1)(x-2)(x-3)

expand

x (x - 1) (x - 2) (x - 3)

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

Solution steps

x (x - 1) (x - 2) (x - 3)

Expand

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

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

Expand

x (x - 3) : x^{2} - 3 x

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

Distribute parentheses

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

Simplify

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

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

\frac{x ^{2} - 9}{x - 3} \cdot \frac{2 x ^{2} - 2}{x ^{2} + 4 x + 3}

16 x^{4}

\frac{5 x + 25}{14} \cdot \frac{7 x + 7}{10 x + 50}

(2 a - 6) (2 a + 4)

lo g_{3} (3^{5})

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