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A= \(x.\left\{\left[x.\left(x^2-7\right)\right]^2-6^2\right\}=x.\left[x.\left(x^2-7\right)-6\right].\left[x.\left(x^2-7\right)+6\right]\)
A=\(x.\left[x^3-7x-6\right].\left[x^3-7x+6\right]\)
A= \(x.\left(x-3\right).\left(x+1\right).\left(x+2\right).\left(x+3\right).\left(x-1\right).\left(x-2\right)\)
\(=x^4-9x^3+9x^3-81x^2-9x^2+81x+10x-90\)
\(=\left(x-9\right)\left(x^3+9x^2-9x+10\right)\)
\(=\left(x-9\right)\left(x^3+10x^2-x^2-10x+x+10\right)\)
\(=\left(x-9\right)\left(x+10\right)\left(x^2-x+1\right)\)
=X^7+x^6+x^5=x^4+x^3+x^2+1-x^6-x^5-x^4-x^3
=x^5(x^2=x+1)+(x^2+1)-x^4(x^^2-x+1)
=(x^2+x+1)(x^5+x^2-x^4)-(x-1)(x^2+x+1)
=(x^2+1+x)(x^5+x^2-X^4-x+1)
mik lm rồi nên chắc đúng
\(x^7+x^2+1=x^7+x^6+x^5-x^6-x^5-x^4+x^4+x^2+x+1-x\)
\(=x^5\left(x^2+x+1\right)-x^4\left(x^2+x+1\right)+x\left(x^3-1\right)+\left(x^2+x+1\right)\)
\(=x^5\left(x^2+x+1\right)-x^4\left(x^2+x+1\right)+x\left(x-1\right)\left(x^2+x+1\right)+\left(x^2+x+1\right)\)
\(=\left(x^2+x+1\right)\left(x^5-x^4+x^2-x+1\right)\)
\(=x^2-2x-9x+18\)
\(=\left(x-2\right)\left(x-9\right)\)
OK k nha