Question

1. Chia đa thức:

(x^3y^3 - 1/2xy^3 - x^3y^2) : 1/3x^3y^2

(x^3 + 8y^3) : (x + 2y)

[ 5(a - b)^3 + 2(a - b)^2 ] : (b - a)^2

(x^3 - 3x^2 + x - 3) : (x - 3)

(12x^2 - 14x + 3 - 6x^3 + x^4) : (1 - 4x + x^2)

(2x^2 - 5x^3 + 2x + 2x^4 - 1) : (x^2 - x - 1)

giúp mình nha các bạn! ^^

Answer 1

a: \(\left(x^3y^3-\dfrac{1}{2}xy^3-x^3y^2\right):\dfrac{1}{3}x^3y^2\)

\(=x^3y^3:\dfrac{1}{3}x^3y^2-\dfrac{1}{2}xy^3:\dfrac{1}{3}x^3y^2-x^3y^2:\dfrac{1}{3}x^3y^2\)

\(=3y-\dfrac{\dfrac{3}{2}y^2}{x^2}-3\)

b: \(\dfrac{\left(x^3+8y^3\right)}{x+2y}\)

\(=\dfrac{\left(x+2y\right)\left(x^2-2xy+4y^2\right)}{x+2y}=x^2-2xy+4y^2\)

c: \(\left[5\left(a-b\right)^3+2\left(a-b\right)^2\right]:\left(b-a\right)^2\)

\(=\dfrac{5\left(a-b\right)^3}{\left(a-b\right)^2}+\dfrac{2\left(a-b\right)^2}{\left(a-b\right)^2}=5\left(a-b\right)+2\)