Question

Phân tích đa thức thành nhân tử.

1) 18x²y - 12x³

2) (4x²- 4x + 1 ) -( x+1)²

Answer 1

1) \(18x^2y-12x^3=6x^2\left(3y-2x\right)\)

2)

\(\left(4x^2-4x+1\right)-\left(x+1^2\right)\\ =\left(2x-1\right)^2-\left(x+1\right)^2\\ =\left(2x-1-x-1\right)\left(2x-1+x+1\right)=3x\left(x-2\right)\)

Chúc bạn học tốt nha.

Answer 2

1) \(18x^2y-12x^3=6x^2.\left(3y-2\right)\)

2) \(\left(4x^2-4x+1\right)-\left(x+1\right)^2=\left[\left(2x\right)^2-2.2x.1+1^1\right]-\left(x+1\right)^2=\left(2x-1\right)^2-\left(x+1\right)^2=\left(2x-1-x-1\right).\left(2x-1+x+1\right)=\left(x-2\right).3x\)