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Popular >

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

Solution

expand

x (x - 1) (x - 2)

Solution

x^{3} - 3 x^{2} + 2 x

Solution steps

x (x - 1) (x - 2)

Expand

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

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

Apply the distributive law:

m (a + b + c) = ma + mb + m c

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

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

Simplify

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

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

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Frequently Asked Questions (FAQ)

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