(ii) x² + y², 2x², –3y², 3x² – 4y²

The correct answer is: 3x2 – 6y2

Answer:

  ○        The concept used in this question is of addition of polynomials.

  ○        Arrange the term in the decreasing order of their power.

  ○        To add polynomials simply add any like terms together.

  ○        Like terms are terms whose variables and exponents are the same

• Step by step explanation:

○        Given:
Expression:  x² + y², 2x², –3y², 3x² – 4y²
○        Step 1:
○        Simplify the expression.
∴ ( x² + y²) + (  2x²) + (–3y² ) + ( – 4y² )
○        Step 2:
○        Perform simple addition of like terms

                         x² + y² +  2x² – 3y² – 4y²

                          x² +  2x² + y² – 3y² – 4y²

                         3x² – 6y²

• Final Answer:

                         3x² – 6y²