Question

Parker made a mistake in combining like terms when simplifying the expression 6x² - 4y + 2x + 4x² + 8y. He correctly combined the x² terms as 6x² + 4x² = 10x², which is correct. However, he made an error when combining the y terms. He added -4y and 8y as 4y + 8y = 12y, which is incorrect. The correct combination of the y terms is -4y + 8y = 4y.

To fix the mistake and get the correct answer, Parker should combine the y terms correctly. The expression should be simplified as follows:
10x² + 4y + 2x

Answer 1

Parker made a mistake in combining like terms in an algebraic expression. He incorrectly added the y terms and should have combined them correctly by adding -4y and 8y as -4y + 8y = 4y. The correct simplification of the expression is 10x² + 4y + 2x.

Step-by-step explanation:

Parker made a mistake in combining like terms when simplifying the expression 6x² - 4y + 2x + 4x² + 8y. He correctly combined the x² terms as 6x² + 4x² = 10x², which is correct. However, he made an error when combining the y terms. He added -4y and 8y as 4y + 8y = 12y, which is incorrect. The correct combination of the y terms is -4y + 8y = 4y.

To fix the mistake and get the correct answer, Parker should combine the y terms correctly. The expression should be simplified as follows: 10x² + 4y + 2x.