Question

Tính:

1. ( x - 2 ) ( 3x + 1 )

2. ( 8x⁴y³ - 12x³y³ + 6x³y⁴ )

3. ( 3x³y² + 6x²y³ - 12xy⁴ ) : 3xy

4. ( 3x³y² + 6x²y³ - 12xy⁴ ) : 4xy

5. ( 2x³ - 5x² + 7x - 6 ) : ( 2x - 3 )

6. ( x⁴ - x³ + 3x² + x + 2 ) : ( x² - 1 )

 

Answer 1

\(1,=3x^2-6x+x-2=3x^2-5x-2\\ 2,??\\ 3,=3x^3y^2:3xy+6x^2y^3:3xy-12xy^4:3xy=x^2y+2xy^2-4y^3\\ 4,=3x^3y^2:4xy+6x^2y^3:4xy-12xy^4:4xy\\ =\dfrac{3}{4}x^2y+\dfrac{3}{2}xy^2-3x^3\\ 5,\left(2x^3-5x^2+7x-6\right):\left(2x-3\right)=x^2-x+2\\ 6,\left(x^4-x^3+3x^2+x+2\right):\left(x^2-1\right)=x^2-x+4\left(dư6\right)\) 

Answer 2

1: =3x^2+x-6x-2=3x^2-5x-2

3: =x^2y+2xy^2-4y^3

4: =3/4x^2y+3/2xy^2-3y^3

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