Which of the following is equivalent to (12x2 + 4x + 5y) + (3x2 - 2x + 3y) ?
A. 2x2 - 2x + 8y
B. 2x2 + 15x + 8y
C. 15x2 - 2x + 8y
D. 15x2 + 2x + 8y
Answer:D
Which of the following is equivalent to (12x2 + 4x + 5y) + (3x2 - 2x + 3y) ?
A. 2x2 - 2x + 8y B. 2x2 + 15x + 8y C. 15x2 - 2x + 8y D. 15x2 + 2x + 8y
Explanation: D Because the operation between the parentheses is addition, the parentheses can be removed, and the resulting expression becomes 12x2 + 4x + 5y + 3x2 - 2x + 3y. Reorder the terms so that like terms are next to each other: 12x2 + 3x2 + 4x - 2x + 5y + 3y. Combine like terms to get 15x2 + 2x + 8y. The correct answer is (D).