展开 (2)(3s+1)(s+1/16)

解答

展开

(2) (3 s + 1) (s + \frac{1}{16})

6 s^{2} + \frac{19 s}{8} + \frac{1}{8}

求解步骤

(2) (3 s + 1) (s + \frac{1}{16})

使用法则:

(a) = a

(2) = 2

= 2 (3 s + 1) (s + \frac{1}{16})

Apply FOIL method

(3 s + 1) (s + \frac{1}{16}) : 3 s^{2} + \frac{19 s}{16} + \frac{1}{16}

= 2 (3 s^{2} + \frac{19 s}{16} + \frac{1}{16})

使用分配律:

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

2 (3 s^{2} + \frac{19 s}{16} + \frac{1}{16}) = 2 \cdot 3 s^{2} + 2 \cdot \frac{19 s}{16} + 2 \cdot \frac{1}{16}

= 2 \cdot 3 s^{2} + 2 \cdot \frac{19 s}{16} + 2 \cdot \frac{1}{16}

化简

2 \cdot 3 s^{2} + 2 \cdot \frac{19 s}{16} + 2 \cdot \frac{1}{16} : 6 s^{2} + \frac{19 s}{8} + \frac{1}{8}

= 6 s^{2} + \frac{19 s}{8} + \frac{1}{8}

e x p an d \frac{x + 1}{( 2 x - 1 ) x ^{2}}

e x p an d 5 (2 x)

e x p an d - \frac{g ( m t b - m g )}{b ( g + m )}

e x p an d \frac{( x - 1 ) ^{2} ( x - 2 )}{x ^{3}}

e x p an d \frac{1}{15} cos^{3} (x) (3 cos^{2} (x) - 5)