jup minh nha m.n mink đang cần

<=>x^8(x^3+1)+1

thx

k nhe ae

\(=\left(x^2+x+1\right)\left(x^6-x^5+x^3-x^2+1\right)\)

\(x^8+x+1\)

\(=\left(x^8-x^5\right)+\left(x^5-x^2\right)+\left(x^2+x+1\right)\)

\(x^5\left(x^3-1\right)+x^2\left(x^3-1\right)+\left(x^2+x+1\right)\)

\(=x^5\left(x-1\right)\left(x^2+x+1\right)+x^2\left(x-1\right)\left(x^2+x+1\right)+\left(x^2+x+1\right)\)

\(=\left(x^6-x^5\right)\left(x^2+x+1\right)+\left(x^3-x^2\right)\left(x^2+x+1\right)+\left(x^2+x+1\right)\)

\(=\left(x^2+x+1\right)\left(x^6-x^5+x^3-x^2+1\right)\)

\(x^8+x+1\)

\(=x^8+x^7+x^6-x^7-x^6-x^5+x^5+x^4+x^3-x^4-x^3-x^2+x^2+x+1\)

\(=x^6\left(x^2+x+1\right)-x^5\left(x^2+x+1\right)+x^3\left(x^2+x+1\right)-x^2\left(x^2+x+1\right)+x^2+x+1\)

\(=\left(x^2+x+1\right)\left(x^6-x^5+x^3-x^2+1\right)\)

A = x⁸(x²-1)+1

A =(x²-1)(x⁸+1)

      \(x^{10}+x^8+1\)

\(=x^{10}-x+x^8-x^2+x^2+x+1\)

\(=x\left(x^9-1\right)+x^2\left(x^6-1\right)+x^2+x+1\)

\(=x\left(x^3-1\right)\left(x^6+x^3+1\right)+x^2\left(x^3+1\right)\left(x^3-1\right)+x^2+x+1\)

\(=\left(x^7+x^4+x\right)\left(x^3-1\right)+\left(x^5+x^2\right)\left(x^3-1\right)+x^2+x+1\)

\(=\left(x^3-1\right)\left(x^7+x^5+x^4+x^2+x\right)+x^2+x+1\)

\(=\left(x^2+x+1\right)\left(x-1\right)\left(x^7+x^5+x^4+x^2+x\right)+x^2+x+1\)

\(=\left(x^2+x+1\right)\left(x^8-x^7+x^6-x^4+x^3-x+1\right)\)

Chúc bạn học tốt.

Bài 1 :

\(x^2-6x+8=x^2-2x-4x+8=x\left(x-2\right)-4\left(x-2\right)=\left(x-4\right)\left(x-2\right)\)

Bài 2 :

 \(x^8+x^7+1=x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1-x^6-x^5-x^4-x^3-x^2-x\)

\(=x^6\left(x^2+x+1\right)+x^3\left(x^2+x+1\right)+x^2+x+1-x^4\left(x^2+x+1\right)-x\left(x^2+x+1\right)\)

=\(\left(x^2+x+1\right)\left(x^6+x^3+1-x^4-x\right)\)

Tick đúng nha 

X^2-6+8

\(a)x^5+x^4+1\)

\(=x^3\left(x^2+x+1\right)-\left(x-1\right)\left(x^2+x+1\right)\)

\(=\left(x^2+x+1\right)\left(x^3-x+1\right)\)

\(b)x^8+x^7+1\)

\(=\left(x^8-x^2\right)+\left(x^7-x\right)+\left(x^2+x+1\right)\)

\(=\left(x^2+x+1\right)\left(x^6-x^4+x^3-x+1\right)\)

\(#Tuyết\)

\(-8x^3+1=1^3-\left(2x\right)^3=\left(1-2x\right)\left(1+2x+4x^2\right)\)