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Sửa đề: \(x^4+x^2+1\)
\(=x^4+2x^2+1-x^2\)
\(=\left(x^2+1\right)^2-x^2\)
\(=\left(x^2+x+1\right)\left(x^2-x+1\right)\)
x\(^2\)-(a+b)x+ab
= x\(^2\)-ax-bx+ab
= x(x-a) - b(x-a)
= ( x-a).( x-b)
ax-2x-a\(^2\)+2a
= x(a-2) - a(a-2)
= (a-2).( x-a)
\(x^8-1=x^8-x^4+x^4-1\)
\(=x^4\left(x^2-1\right)+\left(x^4-1\right)\)
\(=x^4\left(x^2-1\right)+\left(x^2-1\right)\left(x^2+1\right)\)
\(=\left(x^2-1\right)\left(x^4+x^2+1\right)\)
\(=\left(x-1\right)\left(x+1\right)\left(x^4+x^2+1\right)\)
\(x^8-1\)
\(=\left(x^4\right)^2-1^2\)
\(=\left(x^4-1\right)\left(x^4+1\right)\)
\(=\left(x^2-1\right)\left(x^2+1\right)\left(x^4+1\right)\)
\(=\left(x-1\right)\left(x+1\right)\left(x^2+1\right)\left(x^4+1\right)\)
\(x^3+x^2+4\)
\(=x^3-x^2+2x^2+2x-2x+4\)
\(=\left(x^3-x^2+2x\right)+\left(2x^2-2x+4\right)\)
\(=x\left(x^2-x+2\right)+2\left(x^2-x+2\right)\)
\(=\left(x^2-x+2\right)\left(x+2\right)\)
=x^3-2x^2+2x-4-9
=(x-2)(x^2+2)-9
\(=\left(\sqrt{\left(x-2\right)\left(x^2+2\right)}-3\right)\left(\sqrt{\left(x-2\right)\left(x^2+2\right)}+3\right)\)
nhan tu là j hở bn
ns ik mình sẽ giải cko
cau cau hoi roi do ban
\(x^2+x+1=x^2+2x-x+1\)
\(=\left(x^2+2x+1\right)-\sqrt{x}^2\)
\(=\left(x+1+\sqrt{x}\right)\left(x+1-\sqrt{x}\right)\)
\(x^2+x+1\)
\(=x^2+2.\frac{1}{2}.x+1^2\)
\(=\left(x+1\right)^2\)
\(x^2+x+1\)
\(=x^2+2.\frac{1}{2}.x.1+1^2\)
\(=\left(x+1\right)^2\)
x2 + x + 1
= x2 + 2 . 1/2. x . 1 + 12
= ( x + 1 ) 2
. \(x=\left(\sqrt{x}\right)^2\)nếu x \(\ge0\)
. \(x=-\left(\sqrt{-x}\right)^2\)nếu x \(< 0\)
X2 + x + 1
Suy ra 2 1/ 2 - x + 1 2
vậy x = ( x+ 1 ) cách viết bằng lý thuyết
\(x^2+x+1\)
\(=x^2+2.x.\frac{1}{2}+\frac{1}{4}+\frac{3}{4}\)
\(=\left(x+\frac{1}{2}\right)^2+\frac{3}{4}>0\)
=> ko phân tích thành nhân tử
\(x^2+x+1\)
\(=x^2+2.\frac{1}{2}.x+1^2\)
\(=\left(x+1\right)\left(x+1\right)\)
\(x^2+x+1\)
\(=x^2+2x+1-x\)
\(=\left(x+1\right)^2-x\)
\(=\left(x+1-\sqrt{x}\right)\left(x-1+\sqrt{x}\right)\)
Passenger CTV mà làm sai r bạn êi.Đề sai thì chấp nhận đi
Chưa xét gt trong căn mà, x âm thì sao )):