Question

Which expression is the simplest form of 4(3x + y) + 2(x - 5y) + x??O A. x2 + 14x - 6yO B. x2 + 13x - 9yc. x2 + 14x - 9yO D. x + 14x-y

Answer 1

In order to simplify the expression 4(3x + y) + 2(x - 5y) + x² we just have to get rid of the parenthesis by distributing the products and then combine like terms, like this:

1. Get rid of the parenthesis

4(3x + y) + 2(x - 5y) + x² = 4×3x + 4×y + 2×x - 2×5y + x²

4×3x + 4×y + 2×x - 2×5y + x² = 12x + 4y + 2x - 10y + x²

2. Combine like terms

12x + 4y + 2x - 10y + x² = 14x - 6y + x² = x² + 14x - 6y

By simplifying the expression 4(3x + y) + 2(x - 5y) + x², we get x² + 14x - 6y, then the first option is the correct answer.