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Ta có: x2 - 2xy - 4z2 + y2
= (x2 - 2xy + y2) - (2z)2
= (x - y)2 - (2z)2
=(x - y - 2z)(x- y +2z) (*)
Thay x= 6; y= -4; z=45 vào biểu thức (*), ta đc:
(6 + 4 - 2.45)(6 + 4 +2.45)
= -80.100
=-8000
Vậy...
![](https://rs.olm.vn/images/avt/0.png?1311)
Ta có: \(x^2-2xy-4z^2+y^2\)
\(=\left(x^2-2xy+y^2\right)-4z^2\)
\(=\left(x-y\right)^2-4z^2=\left(x-y-2z\right)\left(x-y+2z\right)\)
\(=\left[6-\left(-4\right)-2\cdot45\right]\left[6-\left(-4\right)+2\cdot45\right]=-80\cdot100=-8000\)
![](https://rs.olm.vn/images/avt/0.png?1311)
a) \(x^2-2xy-4z^2+y^2=\left(x-y\right)^2-4z^2=\left(x-y-2z\right)\left(x-y+2z\right)=\left(6+4-2.45\right)\left(6+4+2.45\right)=-8000\)b) \(3\left(x-3\right)\left(x+7\right)+\left(x-4\right)^2+48=3\left(x^2+4x-21\right)+\left(x^2-8x+16\right)+48=4x^2+4x+1=\left(2x+1\right)^2=\left(2.0,5+1\right)^2=4\)
a: Ta có: \(x^2-2xy+y^2-4z^2\)
\(=\left(x-y\right)^2-\left(2z\right)^2\)
\(=\left(x-y-2z\right)\left(x-y+2z\right)\)
\(=\left(6+4-2\cdot45\right)\left(6+4+2\cdot45\right)\)
\(=-8000\)
b: Ta có: \(3\left(x-3\right)\left(x+7\right)+\left(x-4\right)^2+48\)
\(=3\left(x^2+4x-21\right)+\left(x-4\right)^2+48\)
\(=3x^2+12x-63+x^2-8x+16+48\)
\(=2x^2+4x+1\)
\(=2\cdot\dfrac{1}{4}+4\cdot\dfrac{1}{2}+1\)
\(=\dfrac{7}{2}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
x^2-2xy-4z^2+y^2 =(x^2-2xy+y^2)-(2z)^2 =(x-y)^2-(2z)^2 =(x-y-2z)(x-y+2z) Tại x=6;y=-4;z=45 bt có gái trị là (6+4-2.45).(6+4+45)=-80.100=-8000 Vậy bt có giá trị là -8000
x2 - 2xy - 4z2 + y2 tại x = 6 ; y = -4 ; z = 45
= x2 - 2xy + y2 - 4z2
= ( x - y )2 - ( 2z )2
= ( x - y + 2z ) ( x - y - 2z )
Thay x = 6 ; y = -4 ; z = 45 vào biểu thức , ta có :
( x - y + 2z ) ( x - y - 2z )
= ( 6 + 4 + 2 . 45 ) ( 6 + 4 - 2 . 45 )
= 100 . ( -80 )
= -8000
![](https://rs.olm.vn/images/avt/0.png?1311)
bài làm
A=x2-2xy-4z2+y2
=(x2-2xy+y2)-(2z)2
=(x-y)2-(2z)2
=(x-y-2z)(x-y+2z)
=(6+4-2.45)(6+4+2.45)
=-80+100
=20
![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(x^2-2xy-4z^2+y^2\)
\(=\left(x^2-2xy+y^2\right)-\left(2z\right)^2\)
\(=\left(x-y\right)^2-\left(2x\right)^2\)
\(=\left(x-y-2z\right)\left(x-y+2z\right)\)
Thay x=6 ; y=-4 ; z=45 vào biểu thức trên ta được:
\(\left(x-y-2z\right)\left(x-y+2z\right)\)
\(=\left(6-4-45.2\right)\left(6-4+2.45\right)\)
\(=\left(2-90\right)\left(2+90\right)\)
=\(-8096\)
![](https://rs.olm.vn/images/avt/0.png?1311)
A= x^2 -2xy + y^2 - (2z)^2
= ( x- y)^2 - (2z)^2
= ( x-y - 2z)(x - y +2z)
= ( 6 - (-4) - 2.4,5) ( 6 - (-4) + 2.4,5)
= ( 10 - 90)( 10 + 90 )
= -80.100
=-8000
![](https://rs.olm.vn/images/avt/0.png?1311)
a)x2-2xy-4x2+y2
= (x2-2xy+y2)-(2x)2
= (x-y)2-(2x)2 = (x-y-2x)(x-y+2x)(1)
Thay x=6; y=-4; z=45 ta được:
(1)<=>(6+4-90)(6+4+90)= (10-90).(10+90)=-80.100= -8000
\(=\left(x-y-2z\right)\left(x-y+2z\right)\)
\(=\left(6+4-90\right)\left(6+4+90\right)\)
\(=100\cdot\left(-80\right)=-8000\)
Ko có đúng😢