展开 (16u-v=1,)(-8u+2v=16)

解答

展开

(16 u - v = 1,) (- 8 u + 2 v = 16)

- 128 u^{2} + 32 uv = 16

求解步骤

(16 u - v = 1,) (- 8 u + 2 v = 16)

= (16 u - 1 =, v) (- 8 u + 2 \cdot 16 = v)

使用 FOIL 方法:

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

a = 16 u, b = - v = 1,, c = - 8 u, d = 2 v = 16

16 u (- 8 u) + 16 u \cdot 2 v = 16 + (- v = 1,) (- 8 u) + (- v = 1,) \cdot 2 v = 16

使用加减运算法则

+ (- a) = - a, (- a) (- b) = ab

- 16 \cdot 8 uu + 16 \cdot 2 uv = 16 + v = 1, 8 u - v = 1, 2 v = 16

乘开

- 16 \cdot 8 uu + 16 \cdot 2 uv : - 128 u^{2} + 32 uv

- 128 u^{2} + 32 uv = 16

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