1:
a: Khi x=4 thì \(B=\dfrac{4-3}{2\cdot4-4^2}=\dfrac{-1}{8}\)
b: \(A=\dfrac{4x^2+4+4x+x^2-\left(4-4x+x^2\right)}{\left(2-x\right)\left(2+x\right)}\)
\(=\dfrac{5x^2+4x+4-4+4x-x^2}{\left(2-x\right)\left(2+x\right)}=\dfrac{4x^2+8x}{\left(2-x\right)\left(2+x\right)}=-\dfrac{4x}{x-2}\)
c: P=A:B
=(-4x)/(x-2):(x-3)/(-x(x-2))
\(=\dfrac{4x}{x-2}\cdot\dfrac{x\left(x-2\right)}{x-3}=\dfrac{4x^2}{x-3}\)
P<0
=>x-3<0
=>x<3
e: A nguyên
=>4x chia hết cho x-2
=>4x-8+8 chia hết cho x-2
=>\(x-2\in\left\{1;-1;2;-2;4;-4;8;-8\right\}\)
=>\(x\in\left\{3;1;4;0;6;-6;10\right\}\)
g: Q=4:P
=(x-3)/(x^2)
Q-1=(-x^2+x-3)/x^2<0
=>Q<1