Question

Phân tích các đa thức sau thành nhân tử:

\(e,x^2-y^2+2x+1\)

\(f,x^3+2x^2+2x+1\)

Answer 1

e) x² - y² + 2x + 1

= (x² + 2x + 1) - y²

= (x + 1)² - y²

= (x + y + 1).(x - y + 1)

f) x³ + 2x² + 2x + 1

= x³ + 2.x².1 + 2.x.1² + 1³

= (x + 1)³

Answer 2

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

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

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