展开 2x(x^2+1)

解答

展开

2 x (x^{2} + 1)

2 x^{3} + 2 x

求解步骤

2 x (x^{2} + 1)

使用分配律:

a (b + c) = ab + a c

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

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

化简

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

= 2 x^{3} + 2 x

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