Simplify the Following Expression: 2x − 6y + 3x^2 + 7y − 14x.


Question: Simplify the following expression: 2x - 6y + 3x2 + 7y - 14x.

The given algebraic expression can be simplified by combining like terms.

Answer: We obtain 3x2 - 12x + y by simplifying the expression: 2x - 6y + 3x2 + 7y - 14x.

Let's simplify 2x - 6y + 3x2 + 7y - 14x

Explanation:

2x - 6y + 3x2 + 7y - 14x

= 3x2 + 2x - 14x + 7y - 6y ---------> rearranging the terms

= 3x2 + (2 - 14)x + (7 - 6)y ---------> combining the like terms

= 3x2 - 12x + y

Thus, the simplified expression of 2x - 6y + 3x2 + 7y - 14x is 3x2 - 12x + y