What is expand (x-1)(x-2)(x-3)(x-4) ?

The solution to expand (x-1)(x-2)(x-3)(x-4) is x^4-10x^3+35x^2-50x+24

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expand (x-1)(x-2)(x-3)(x-4)

expand

(x - 1) (x - 2) (x - 3) (x - 4)

x^{4} - 10 x^{3} + 35 x^{2} - 50 x + 24

Solution steps

(x - 1) (x - 2) (x - 3) (x - 4)

Expand

(x - 1) (x - 2) (x - 3) (x - 4) : (x^{2} - 3 x + 2) (x - 3) (x - 4)

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

Apply FOIL method

(x - 3) (x - 4) : x^{2} - 7 x + 12

= (x^{2} - 3 x + 2) (x^{2} - 7 x + 12)

Distribute parentheses

= x^{2} x^{2} + x^{2} (- 7 x) + x^{2} \cdot 12 - 3 x x^{2} - 3 x (- 7 x) - 3 x \cdot 12 + 2 x^{2} + 2 (- 7 x) + 2 \cdot 12

Simplify

x^{2} x^{2} + x^{2} (- 7 x) + x^{2} \cdot 12 - 3 x x^{2} - 3 x (- 7 x) - 3 x \cdot 12 + 2 x^{2} + 2 (- 7 x) + 2 \cdot 12 : x^{4} - 10 x^{3} + 35 x^{2} - 50 x + 24

= x^{4} - 10 x^{3} + 35 x^{2} - 50 x + 24

(x - a)^{2}

\frac{2 x - 6}{x - 3}

\frac{x ^{2} - 5 x + 6}{x ^{2} - 7 x + 12}

3 \times (- 1)

2 (x + 3)

What is expand (x-1)(x-2)(x-3)(x-4) ?
The solution to expand (x-1)(x-2)(x-3)(x-4) is x^4-10x^3+35x^2-50x+24