展开 X(F(X)X+1=+1)

解答

展开

X (F (X) X + 1 = + 1)

X^{2} F (X) + X = X

求解步骤

X (F (X) X + 1 = + 1)

= X (XF (X) + 1 = + 1)

打开括号

XF (X) X + X \cdot 1 = X \cdot 1

XXF (X) + 1 \cdot X = 1 \cdot X

化简

XXF (X) + 1 \cdot X = 1 \cdot X : X^{2} F (X) + X = X

X^{2} F (X) + X = X

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