\(x^{10}+x^8+1\)
\(=x^{10}-x+x^8-x^2+x^2+x+1\)
\(=x\left(x^9-1\right)+x^2\left(x^6-1\right)+x^2+x+1\)
\(=x\left(x^3-1\right)\left(x^6+x^3+1\right)+x^2\left(x^3+1\right)\left(x^3-1\right)+x^2+x+1\)
\(=\left(x^7+x^4+x\right)\left(x^3-1\right)+\left(x^5+x^2\right)\left(x^3-1\right)+x^2+x+1\)
\(=\left(x^3-1\right)\left(x^7+x^5+x^4+x^2+x\right)+x^2+x+1\)
\(=\left(x^2+x+1\right)\left(x-1\right)\left(x^7+x^5+x^4+x^2+x\right)+x^2+x+1\)
\(=\left(x^2+x+1\right)\left(x^8-x^7+x^6-x^4+x^3-x+1\right)\)
Chúc bạn học tốt.
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c) 2x2(x +1) + 4x(x +1); d) 2 x(y - 1) - 2
