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

The solution to expand (x-1)(x-2)(x-4) is x^3-7x^2+14x-8

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

expand

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

x^{3} - 7 x^{2} + 14 x - 8

Solution steps

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

Expand

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

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

Distribute parentheses

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

Simplify

x^{2} x + x^{2} (- 4) - 3 xx - 3 x (- 4) + 2 x + 2 (- 4) : x^{3} - 7 x^{2} + 14 x - 8

= x^{3} - 7 x^{2} + 14 x - 8

\frac{3 x ^{2}}{x ^{2}}

\frac{90}{100}

- 1 \cdot (- 3)

x^{2} (x - 2)

3 (x + 4)

What is expand (x-1)(x-2)(x-4) ?
The solution to expand (x-1)(x-2)(x-4) is x^3-7x^2+14x-8