Câu 1: Rút gọn các biểu thức sau:1. left(x+y-zright)^2+left(y-zright)^2+2zleft(z-yright)2. left(3x+4right)^2+left(x-4right)^2+2left(3x+4right)left(x-4right)3.left(3+1right)left(3^2+1right)left(3^4+1right)left(3^8+1right)left(3^{16}+1right)left(3^{32}+1right)4. 2xleft(2x-1right)^2-3xleft(x+3right)left(x-3right)-4xleft(x+1right)5. left(3+1right)left(3^2+1right)left(3^4+1right)left(3^8+1right)left(3^{16}+1right)left(3^{32}+1right)Câu 2: Tìm x1. 4left(x+1right)^2+left(2x-1right)^2-8left(x-1right)lef...
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Câu 1: Rút gọn các biểu thức sau:
1. \(\left(x+y-z\right)^2+\left(y-z\right)^2+2z\left(z-y\right)\)
2. \(\left(3x+4\right)^2+\left(x-4\right)^2+2\left(3x+4\right)\left(x-4\right)\)
3.\(\left(3+1\right)\left(3^2+1\right)\left(3^4+1\right)\left(3^8+1\right)\left(3^{16}+1\right)\left(3^{32}+1\right)\)
4. \(2x\left(2x-1\right)^2-3x\left(x+3\right)\left(x-3\right)-4x\left(x+1\right)\)
5. \(\left(3+1\right)\left(3^2+1\right)\left(3^4+1\right)\left(3^8+1\right)\left(3^{16}+1\right)\left(3^{32}+1\right)\)
Câu 2: Tìm x
1. \(4\left(x+1\right)^2+\left(2x-1\right)^2-8\left(x-1\right)\left(x+1\right)=1\)
2. \(\left(3x+1\right)^2+\left(5x-2\right)^2=34\left(x+2\right)\left(x-2\right)\)
3. \(\left(x+3\right)^2+\left(x-2\right)^2=2x^2\)
4. \(4x^2-9-x\left(2x-3\right)=0\)
5. \(4x^2-12x+9=0\)
Câu 3: Tìm GTNN
D = \(\left(2x-1\right)^2+\left(x+2\right)^2\)
Câu 4: Cho \(a^2+b^2+c^2=ab+bc+ac\) . Chứng minh rằng a=b=c
