簡約 2x+3/(2(x-4))

解

簡約

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

\frac{4 x ^{2} - 16 x + 3}{2 ( x - 4 )}

解答ステップ

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

分数の規則を適用する:

a + \frac{b}{c} = \frac{a c + b}{c}

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

数を乗じる:

2 \cdot 2 = 4

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

簡素化

4 x (x - 4) + 3 : 4 x^{2} - 16 x + 3

= \frac{4 x ^{2} - 16 x + 3}{2 ( x - 4 )}