a) Thay \(x=2,y=\frac{1}{2}\), ta được \(B=2^2-4.2.\frac{1}{2}+4.\left(\frac{1}{2}\right)^2=4-4+1=1\)
b) Thay \(x=1,\left|y\right|=2.5\Leftrightarrow x=1,y=2,5\), ta được \(B=1^2-4.1.2,5+4.\left(2,5\right)^2=1-10+25=16\)
c) Thay \(2x=3y,x+2y=-7\Leftrightarrow\left\{{}\begin{matrix}2x-3y=0\\x+2y=-7\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x=-3\\y=-2\end{matrix}\right.\), ta được \(B=\left(-3\right)^2-4\left(-3\right)\left(-2\right)+4\left(-2\right)^2=9-24+16=1\)
d) Thay $x=2y$, ta được \(B=\left(2y\right)^2-4\left(2y\right)y+4y^2=4y^2-8y^2+4y^2=0\)
B=x2-4xy+4.y2.
B=(x2-2xy)+4y2-2xy.
B=x(x-2y)+2y(2y-x)
B=x(x-2y)-2y(2y-x)=(x-2y)2.
a)Thay x=2;y=1/2, ta được:
B=(2-1)2=1
b)TH1:y=2,5
B=(x-2y)2=(1-2.2,5)2=(-4)2=16.
TH2:y=-2,5
B=(x-2y)2=(1+2,5.2)2=62=36
Vậy B=16 hoặc 36.
c)x=\(\frac{3}{2}\)y ⇒y(\(\frac{3}{2}\)+2)=-7
y.\(\frac{7}{2}\)=-7⇒y=-2
x=(-2).\(\frac{3}{2}\)=-3
B=[-3-2.(-2)]2=12=1
d)B=(x-2y)2=02=0.