展开 (xsqrt(1+\sqrt{x)})(1+sqrt(1+\sqrt{x)})

解答

展开

(x 1 + x) (1 + 1 + x)

x 1 + x + x + x x

求解步骤

(x 1 + x) (1 + 1 + x)

使用分配律:

a (b + c) = ab + a c

(x 1 + x) (1 + 1 + x) = x 1 + x \cdot 1 + x 1 + x 1 + x

= x 1 + x \cdot 1 + x 1 + x 1 + x

化简

x 1 + x \cdot 1 + x 1 + x 1 + x : x 1 + x + x (1 + x)

= x 1 + x + x (1 + x)

展开

x (1 + x) : x + x x

= x 1 + x + x + x x

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e x p an d - 48 e^{2 t} \cdot U (t - 4)

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