展开 (a*b'+c)(a+b)

解答

展开

(a \cdot b^{'} + c) (a + b)

a^{2} b' + abb' + a c + b c

求解步骤

(a b^{'} + c) (a + b)

使用 FOIL 方法:

(a + b) (c + d) = a c + a d + b c + b d

a = a b^{'}, b = c, c = a, d = b

= a b^{^{'}} a + a b^{^{'}} b + c a + c b

= aa b^{^{'}} + ab b^{^{'}} + a c + b c

aa b^{'} = a^{2} b^{'}

= a^{2} b^{^{'}} + ab b^{^{'}} + a c + b c

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

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

e x p an d (- e^{x} - e^{- x}) \cdot (- e^{x} + e^{- x})

e x p an d (5 x + 7) (x + 5)^{'}

e x p an d - x^{3} + (1 + 1 0^{10}) x^{2} - 1 0^{10} x