展开 (b/a (x-z)+y-c)^2

解答

展开

(\frac{b}{a} (x - z) + y - c)^{2}

\frac{b ^{2} ( x - z ) ( x - z )}{a ^{2}} + \frac{2 b x y - 2 b zy - 2 b c x + 2 b cz}{a} + y^{2} - 2 cy + c^{2}

求解步骤

(\frac{b}{a} (x - z) + y - c)^{2}

使用指数法则:

a^{b + c} = a^{b} \cdot a^{c}

(\frac{b}{a} (x - z) + y - c)^{2} = (\frac{b}{a} (x - z) + y - c) (\frac{b}{a} (x - z) + y - c)

= (\frac{b}{a} (x - z) + y - c) (\frac{b}{a} (x - z) + y - c)

打开括号

= \frac{b}{a} (x - z) \frac{b}{a} (x - z) + \frac{b}{a} (x - z) y + \frac{b}{a} (x - z) (- c) + y \frac{b}{a} (x - z) + yy + y (- c) - c \frac{b}{a} (x - z) - cy - c (- c)

化简

\frac{b}{a} (x - z) \frac{b}{a} (x - z) + \frac{b}{a} (x - z) y + \frac{b}{a} (x - z) (- c) + y \frac{b}{a} (x - z) + yy + y (- c) - c \frac{b}{a} (x - z) - cy - c (- c) : \frac{b ^{2} ( x - z ) ( x - z )}{a ^{2}} + \frac{2 b x y - 2 b zy - 2 b c x + 2 b cz}{a} + y^{2} - 2 cy + c^{2}

= \frac{b ^{2} ( x - z ) ( x - z )}{a ^{2}} + \frac{2 b x y - 2 b zy - 2 b c x + 2 b cz}{a} + y^{2} - 2 cy + c^{2}

e x p an d 2 (e - 1) + \frac{e ^{6} + e ^{2} - 2}{4 e ^{2}}

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

e x p an d \frac{s}{( s + 4 ) ( s + 8 )}

e x p an d \frac{- x ^{2} + 64}{( x ^{2} + 64 ) ^{2}}

e x p an d x (18 x^{2} + 23 x y + 18 y^{2} = 19)