Ta có:
\(A=\left(x-4\right)\left(x-2\right)-\left(x-1\right)\left(x-3\right)\)
\(A=\left(x^2-4x-2x+8\right)-\left(x^2-x-3x+4\right)\)
\(A=\left(x^2-6x+8\right)-\left(x^2-4x+4\right)\)
\(A=x^2-6x+8-x^2+4x-4\)
\(A=-2x+4\)
Thay \(x=1\dfrac{3}{4}=\dfrac{7}{4}\) vào A ta được:
\(A=-2.\dfrac{7}{4}+4\)
\(A=-\dfrac{7}{2}+4\)
\(A=\dfrac{1}{2}\)
bai 1
a = (3x / 2x + 4 ) + (x +3 /x ^ 2 - 4 )
a . tim x de gia tri phan thuc a duoc xac dinh
b. rut gon a
c. tinh gia trin cua a khi x bang -3
d . tim gia tri cua x de phan thuc co gia tri bang 2
cho bieu thuc A=[x+2/x^2-x+x-2/x^2+x].x^2-1/x^2+2
a) tim dieu kien cua x de gia tri cua bieu thuc A duoc xac dinh
b) tinh gia tri cua bieu thuc A voi x = -200
Rut gon bieu thuc
A=(x+1)\(\left(x^2+1\right)\left(x^4+1\right)...\left(x^{256}+1\right)+1\)
Bai 1: Cho bt
P=(\(\dfrac{x-2}{x^2-1}\)-\(\dfrac{x+2}{x^2+2x+1}\)).(\(\dfrac{1-x^2}{2}\))2
a, Rut gon P
b, Tim x de \(\dfrac{P-4}{5}\)=x
Bai 2:Chung minh bieu thuc A=\(\dfrac{3}{2}\)-\(\dfrac{x}{x^2+x+1}\) luon duong voi moi x
rut gon phan thuc:
1 \(\dfrac{x^2-18x-19}{x^2-1}\)
2 \(\dfrac{x\left(4x^2-8x+4\right)}{2x^3-2x^2}\)
tinh gia tri cua bieu thuc:
A=x^2+12x+36 tai x=64
B=x^2+4xy+4y^2 khi biet x=2,8; y=3,6
C=(3x-7)^2+10(3x-7)+25 biet x=16
D=8x^3-12x^2+6x-1 tai x=\(\dfrac{-1}{2}\)
rut gon bieu thuc
((x^2+a)(1+a)+a^2x^2+1):((x^2-a)(1-a)+a^2x^2+1)
cm ptrinh treb ko phu thuoc vao x
tinh gia tri cua bieu thuc A=\(x^3+y^3+3xy\left(x^2+y^2\right)+6x^2y^2\left(x+y\right)\)
cho 2 so x, y thoa man: x2+x2y2-2y=0 va x3+ 2y2-4y+3=0
tinh gia tri cua bieu thuc Q=x2+y2
