Question

Simplify the following expression: (3x^2 + 5y^2 + 3x^2 + 4y^2 + 4y^2 + 6)

a) (9x^2 - y^2)
b) (6x^2 + 10y^2)
c) (9x^2 + 10y^2)
d) (9x^2 - 6y^2)

Answer 1

To simplify the expression (3x^2 + 5y^2 + 3x^2 + 4y^2 + 4y^2 + 6), we can combine like terms. The final simplified expression is 6x^2 + 13y^2 + 6.

Step-by-step explanation:

To simplify the expression (3x^2 + 5y^2 + 3x^2 + 4y^2 + 4y^2 + 6), we can combine like terms. Like terms have the same variables raised to the same powers.

Combining the terms with x^2, we have 3x^2 + 3x^2 = 6x^2. Combining the terms with y^2, we have 5y^2 + 4y^2 + 4y^2 = 13y^2. Combining the constants, we have 6 + 0 = 6.

Therefore, the simplified expression is 6x^2 + 13y^2 + 6.