Question

Which expression is equivalent to (3x + 8x^2) + (x^2 - x + 8)?

a) 12x^2 + 8x + 7
b) 9x^2 + 7x + 9
c) 12x^2 + 7x + 9
d) 4x^2 - x + 16

Answer 1

The expression (3x + 8x^2) + (x^2 - x + 8) simplifies to 9x^2 + 2x + 16, which corresponds to option d) 4x^2 - x + 16.

Step-by-step explanation:

The expression (3x + 8x^2) + (x^2 - x + 8) can be simplified by combining like terms. First, we add the coefficients of the x^2 terms: 8x^2 + x^2 = 9x^2. Next, we combine the x terms: 3x - x = 2x. Finally, we add the constants: 8 + 8 = 16. Therefore, the equivalent expression is 9x^2 + 2x + 16, which corresponds to option d) 4x^2 - x + 16.