Question

bài 1: Thực hiện phép chia

a, ( 6x² y³ - 2x² y + 6xy ) : 6xy

b, 4 ( x + y )³ : 2 ( x + y )

c, ( 8x³ + 27y³ ) : ( 2x + 3y )

d, ( 48 x⁴ y³ - 12x²y⁵ + 6x²y² ) : ( 3x²y² )

Answer 1

a) \(\dfrac{6x^2y^3-2x^2y+6xy}{6xy}\)

\(=\dfrac{6x^2y^3}{6xy}-\dfrac{2x^2y}{6xy}+\dfrac{6xy}{6xy}\)

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

b) \(\dfrac{4\left(x+y\right)^3}{2\left(x+y\right)}\)

\(=\dfrac{2\left(x+y\right).2\left(x+y\right)^2}{2\left(x+y\right)}\)

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

c) \(\dfrac{8x^3+27y^3}{2x+3y}\)

\(=\dfrac{\left(2x\right)^3+\left(3y\right)^3}{2x+3y}\)

\(=\dfrac{\left(2x+3y\right)\left[\left(2x\right)^2-2x.3y+\left(3y\right)^2\right]}{2x+3y}\)

\(=4x^2-6xy+9y^2\)

d) \(\dfrac{48x^4y^3-12x^2y^5+6x^2y^2}{3x^2y^2}\)

\(=\dfrac{48x^4y^3}{3x^2y^2}-\dfrac{12x^2y^5}{3x^2y^2}+\dfrac{6x^2y^2}{3x^2y^2}\)

\(=16x^2y-4y^3+2\)