Ta có :
\(A=x^6-2x^4-x^3+x^2+x-7\)
\(=x^6-x^4-x^4-x^3+x^2+x-7\)
\(=\left(x^6-x^4\right)-\left(x^4-x^2\right)-\left(x^3-x\right)-7\)
\(=x^3\left(x^3-x\right)-x\left(x^3-x\right)-\left(x^3-x\right)-7\)
\(=\left(x^3-x\right)\left(x^3-x\right)-\left(x^3-x\right)-7\)
Với \(x^3-x=-8\)ta có :
\(A=-8.\left(-8\right)-\left(-8\right)-7\)
\(=64+8-7\)
\(=65\)
Vậy A = 65 với x^3 - x = -8 .
\(A=x^6-2x^4-x^3+x^2+x-7\)
\(=x^6-x^4-x^4-x^3+x^2+x-7\)
\(=\left(x^6-x^4\right)-\left(x^4-x^2\right)-\left(x^3-x\right)-7\)
\(=x^3\left(x^3-x\right)-x\left(x^3-x\right)-\left(x^3-x\right)-7\)
\(=\left(x^3-x\right)^2-\left(x^3-x\right)-7\)
Tự thay vào nhé
