展开-1/12 (x-3)(x-11)

解答

展开

- \frac{1}{12} (x - 3) (x - 11)

- \frac{x ^{2}}{12} + \frac{7 x}{6} - \frac{11}{4}

求解步骤

- \frac{1}{12} (x - 3) (x - 11)

展开

- \frac{1}{12} (x - 3) (x - 11) : - \frac{1}{12} (x^{2} - 14 x + 33)

= - \frac{1}{12} (x^{2} - 14 x + 33)

使用分配律:

m (a + b + c) = ma + mb + m c

- \frac{1}{12} (x^{2} - 14 x + 33) = - \frac{1}{12} x^{2} - \frac{1}{12} (- 14 x) - \frac{1}{12} \cdot 33

= - \frac{1}{12} x^{2} - \frac{1}{12} (- 14 x) - \frac{1}{12} \cdot 33

化简

- \frac{1}{12} x^{2} - \frac{1}{12} (- 14 x) - \frac{1}{12} \cdot 33 : - \frac{x ^{2}}{12} + \frac{7 x}{6} - \frac{11}{4}

= - \frac{x ^{2}}{12} + \frac{7 x}{6} - \frac{11}{4}

s im pl i f y (5 - x - 2)^{2}

e x p an d B (3, 6, - 9) A (- 4, 8, - 5)

e x p an d \frac{1 0 ^{6} K}{( i w + 1 0 ^{2} ) ^{3}}

e x p an d \frac{( p - 11 ) r ( p - 6 )}{2 ( p ^{2} - 12 p + 36 - 5 r )}

s im pl i f y (n - 6) (n - \frac{1}{2})