It is known that LXL = 3, Lyl = 2, and XY

It is known that LXL = 3, Lyl = 2, and XY


From the meaning of the title, we can get: XY



Given LXL = 4, Lyl = 1, and XY < 0, then X-Y=


x=-4 y=1 x-y=-4-4=-5
x=4 y=-1 x-y=4-(-1)=4+1=5



Given LXL = 5, Lyl = 2, and LX + YL = x + y, find the value of XY


When XY is greater than 0, yes, x = 5, y = 2
Other times are not satisfied, so the final result is as above



①x²+y²-2xy-10x+10y+16;
②2x²+3xy-2y²-x+8y-6;
③x²-2xy-3y²+3x-5y+2;
④6x²-7xy-3y²-xz+7yz-2z².


①x²+y²-2xy-10x+10y+16;
=(x-y)²-10(x-y)+16
=(x-y-2)(x-y-8)
②2x²+3xy-2y²-x+8y-6;
Because 2x & sup2; + 3xy-2y & sup2; = (2x-y) (x + 2Y)
So let 2x & sup2; + 3xy-2y & sup2; - x + 8y-6 = (2x-y + a) (x + 2Y + b)
=2x²+3xy-2y²+ax+2ay+2bx-by+ab
=2x²+3xy-2y²+(a+2b)x+(2a-b)y+ab
So a + 2B = - 1, 2a-b = 8, ab = - 6
The solution is a = 3, B = - 2
So 2x & sup2; + 3xy-2y & sup2; - x + 8y-6 = (2x-y + 3) (x + 2y-2)
③x²-2xy-3y²+3x-5y+2;
Because X & sup2; - 2xy-3y & sup2; = (x-3y) (x + y)
So let X & sup2; - 2xy-3y & sup2; + 3x-5y + 2 = (x-3y + a) (x + y + b)
=x²-2xy-3y²+ax+ay+bx-3by+ab
=x²-2xy-3y²+(a+b)x+(a-3b)y+ab
So a + B = 3, a-3b = - 5, ab = 2
The solution is a = 1, B = 2
So x & sup2; - 2xy-3y & sup2; + 3x-5y + 2 = (x-3y + 1) (x + y + 2)
④6x²-7xy-3y²-xz+7yz-2z².
Because 6x & sup2; - 7xy-3y & sup2; = (2x-3y) (3x + y)
So let 6x & sup2; - 7xy-3y & sup2; - XZ + 7yz-2z & sup2; = (2x-3y + AZ) (3x + y + BZ)
=6x²-7xy-3y²+3axz+ayz+2bxz-3byz+abz²
=6x²-7xy-3y²+(3a+2b)xz+(a-3b)yz+(ab)z²
So 3A + 2B = - 1, a-3b = 7, ab = - 2
The solution is a = 1, B = - 2
So 6x & sup2; - 7xy-3y & sup2; - XZ + 7yz-2z & sup2; = (2x-3y + Z) (3x + y-2z)



There are five cases of apples, each of which takes out 15 kg. The remaining weight is just equal to the weight of the original two cases. How much does each case weigh?


Suppose the weight of each box of apples is X
5x-15*5=2x
x=25
It turns out that each box of apples weighs 25 kg



If a △ B = 3a-2b, find 1 △ (2 △ 3)


1△(2△3)
=1△(6-6)
=1△0
=3-0=3



If the imaginary number Z satisfies Z ^ 3 = 8, then Z ^ 3 + Z ^ 2 + 2Z + 1 =?


This is the first time that we \\\\\\\\\\\\\\\\ \\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\3535;178; + 2Z + 1



The fruit store brought in 350 kg apples, 450 kg bananas and 200 kg pears


Apple: 350 ÷ (350 + 450 + 200) = 7 / 20
Banana: 450 ÷ (350 + 450 + 200) = 9 / 20
Pear: 200 ÷ (350 + 450 + 200) = 1 / 5



If a number is multiplied by 0, it will still get 0. 2. If a number is multiplied by 1, it will still get the original number. 3. If a number is multiplied by negative one, it will get the original number
The product of two opposite numbers is 1


0 × any number of the first pair = 0



In the circuit shown in the figure, it is known that US = 5V, I1 = 1a. The current I2 is () (a) 1a (b) 2A (c) 3a


b