展开 4x(6/x+(x-3)/4 =2)4x

解答

展开

4 x (\frac{6}{x} + \frac{x - 3}{4} = 2) 4 x

4 x^{3} - 12 x^{2} + 96 x = 2

求解步骤

4 x (\frac{6}{x} + \frac{x - 3}{4} = 2) \cdot 4 x

= 4 \cdot 4 xx (\frac{6}{x} + 2 = \frac{x - 3}{4})

使用分配律:

a (b + c) = ab + a c

a = 4 x \cdot 4 x, b = \frac{6}{x}, c = \frac{x - 3}{4} = 2

4 x \cdot 4 x \frac{6}{x} + 4 x \cdot 4 x \frac{x - 3}{4} = 2

4 \cdot 4 \cdot \frac{6}{x} xx + 4 \cdot 4 xx \frac{x - 3}{4} = 2

乘开

4 \cdot 4 \cdot \frac{6}{x} xx + 4 \cdot 4 xx \frac{x - 3}{4} : 4 x^{3} - 12 x^{2} + 96 x

4 x^{3} - 12 x^{2} + 96 x = 2

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