X-Y=1,X^3-Y^3=2问X^4-Y^4的值
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X-Y=1,X^3-Y^3=2问X^4-Y^4的值
X-Y=1,X^3-Y^3=2问X^4-Y^4的值
X-Y=1,X^3-Y^3=2问X^4-Y^4的值
X^3-Y^3 =(X-Y)(X^2+XY+Y^2) =X^2+XY+Y^2 //因为X-Y=1 =(X-Y)^2+3XY =1+3XY=2 所以XY=1/3.(X+Y)^2 =X^2+2XY+Y^2 =X^2-2XY+Y^2+4XY =(X-Y)^2+4XY =1+4/3 = 7/3 所以X+Y=+/-sqrt(7/3).X^4-Y^4 =(X^2+Y^2)(X^2-Y^2) =((X-Y)^2+2XY)(X+Y)(X-Y) =(1+2/3)(+/-sqrt(7/3)) =+/-(5/3)*sqrt(7/3)
{3(x+y)-4(x-y)=4 {x+y/2 + x-y/6=1
(x-y) (x-2y)+(x+2y) (x-3y)-2(x-3y) (x-4y)=
x+y+2(-x-y+1)=3(1-y-x)-4-(y+x-1),x+y=?
X-Y=1,X^3-Y^3=2问X^4-Y^4的值
我问一道数学题 3(x-y)-2(x+y)+2其中x=-1 y=3/4
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为什么(x-2y)(x+4y)-(x-2y)+3(x+4y)-3=(x-2y+3)(x+4y-1).
解二元一次方程组:3(x+y)-4(x-y)=4,x+y/2+x-y/6+1x+y/2+x-y/6+1=1