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Popular >

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

Solution

expand

x (x - 2) (x - 3)

Solution

x^{3} - 5 x^{2} + 6 x

Solution steps

x (x - 2) (x - 3)

Expand

x (x - 2) (x - 3) : x (x^{2} - 5 x + 6)

= x (x^{2} - 5 x + 6)

Apply the distributive law:

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

x (x^{2} - 5 x + 6) = x x^{2} + x (- 5 x) + x \cdot 6

= x x^{2} + x (- 5 x) + x \cdot 6

Simplify

x x^{2} + x (- 5 x) + x \cdot 6 : x^{3} - 5 x^{2} + 6 x

= x^{3} - 5 x^{2} + 6 x

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Frequently Asked Questions (FAQ)

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