Question

Thực hiện phép tính: 1) 4x³y² : x² 2) (3x² - 6x) : (2 - x). 3) (x³ - 8) : (x² + 2x + 4) 4) (3x² - 6x):(2-x) 5) (x³ + 2x²-2x-1):(x²+3+1) 6) [5(x-y)⁴-3(x-y)³+4(x-y)²]:(x-y)² 7) [(x-y)⁵-2(x+y)⁴+3(x+3)³]:(x+y)³ 8) (x²-2xy+y²):(x-y) 9) (27x³+1):(9x²-3x+1)

Answer 1

1: \(=\dfrac{x^2\cdot4xy^2}{x^2}=4xy^2\)

2: \(=\dfrac{3x\left(x-2\right)}{-\left(x-2\right)}=-3x\)

3: \(=\dfrac{\left(x-2\right)\left(x^2+2x+4\right)}{x^2+2x+4}=x-2\)

6: \(\dfrac{5\left(x-y\right)^4-3\left(x-y\right)^3+4\left(x-y\right)^2}{\left(x-y\right)^2}=5\left(x-y\right)^2-3\left(x-y\right)+4\)