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Popular >

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

Solution

expand

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

Solution

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

Solution steps

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

Apply the distributive law:

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

3 x (x^{2} - 2 x + 1) = 3 x x^{2} + 3 x (- 2 x) + 3 x \cdot 1

= 3 x x^{2} + 3 x (- 2 x) + 3 x \cdot 1

Simplify

3 x x^{2} + 3 x (- 2 x) + 3 x \cdot 1 : 3 x^{3} - 6 x^{2} + 3 x

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

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Frequently Asked Questions (FAQ)

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