Question

x⁴ – 2x³ + 2x – 1

a³ – a⁴ + 2a³ + 2a²

x⁴ + x³ + 2x² + x + 1

x⁴ + 2x³ + 2x² + 2x + 1

x²y + xy² + x²z + y²z + 2xyz

x³ + x⁴ + x³ + x² + x + 1

Answer 1

a: Ta có: \(x^4-2x^3+2x-1\)

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

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

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

b: Ta có: \(-a^4+a^3+2a^3+2a^2\)

\(=-a^2\left(a^2-a-2a-2\right)\)

c: Ta có: \(x^4+x^3+2x^2+x+1\)

\(=x^4+x^3+x^2+x^2+x+1\)

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