Question

Consider the following simplified algebraic expression.

10x + y + 6x² - 7y² - 6
Which could be the original expression?
A. 8x²y + 7x² - 5y² + 3x - 2 + 2xy - x² - 2y² - 3x - 4
B. 8x²y + 7x² - 5y² + 3x - 2 + 2xy - x² - 2y² - 3x - 4
C. 8x²yy7x² – 5y² + 3x + 2 + 2xy = x² - 2y² - 3x - 4
D. Bxy + 7x² - 5y² + 3x - 2 - 2xºy - x² - 2y² - 3x - 4

Answer 1

The original expression is A. 8x²y + 7x² - 5y² + 3x - 2 + 2xy - x² - 2y² - 3x - 4.

Step-by-step explanation:

To determine which expression could be the original expression, we need to compare it with each of the answer choices and find the one that matches. Let's simplify the given expression:

10x + y + 6x² - 7y² - 6

The simplified form of the expression is:

6x² - 7y² + 10x + y - 6

Comparing this with each option, we find that option A matches the original expression. Therefore, the answer is A. 8x²y + 7x² - 5y² + 3x - 2 + 2xy - x² - 2y² - 3x - 4.