Answer:
Option (3)
Option (3)
Option (2)
Explanation:
(3x² + 2x - 2)×(x² - 2) = x²(3x² + 2x - 2) - 2(3x² + 2x - 2) [By distributive law]
=
![(3x^(4)+2x^(3)-2x^2)-(6x^(2)+4x-4)](https://img.qammunity.org/2021/formulas/mathematics/high-school/zo5svpnr53emmjf4lf2ngfxu0vblgl2v8n.png)
=
![3x^4+2x^3-2x^2-6x^2-4x+4](https://img.qammunity.org/2021/formulas/mathematics/high-school/sfr21lte64yuapqkeve5qt86trq8l14v0j.png)
=
![3x^4+ 2x^3-8x^2-4x+4](https://img.qammunity.org/2021/formulas/mathematics/high-school/97xwdfanmjou0ek1dg4ts24fl6227ur4rm.png)
Therefore, Option (3) will be the answer.
![-(75x^3y^2)/(-5x^2y)=(75)/(5)* (x^3)/(x^2)* (y^2)/(y)](https://img.qammunity.org/2021/formulas/mathematics/high-school/lid1pljodeoiy1kea1e9zmhn1wisekuaui.png)
= 15xy
Therefore, Option (3) is the answer.
-3x²y) 12x³y² + 9x²y³(-4xy - 3y²
12x³y²
0 + 9x²y³
+ 9x²y³
0
Therefore, (-4xy - 3y²) will be the quotient.
Option (2) will be the answer.