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Popular >

expand 2x(x+1)^2

Solution

expand

2 x (x + 1)^{2}

Solution

2 x^{3} + 4 x^{2} + 2 x

Solution steps

2 x (x + 1)^{2}

Expand

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

= 2 x (x^{2} + 2 x + 1)

Apply the distributive law:

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

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

= 2 x x^{2} + 2 x \cdot 2 x + 2 x \cdot 1

Simplify

2 x x^{2} + 2 x \cdot 2 x + 2 x \cdot 1 : 2 x^{3} + 4 x^{2} + 2 x

= 2 x^{3} + 4 x^{2} + 2 x

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Frequently Asked Questions (FAQ)

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