Question

If you combine like-terms, what will the coefficients be? 3h - 12 + 4h + 4.

A. 3, -12, 4
B. h, 4h
C. 3h - 12 + 4h + 4
D. 7h.

Answer 1

To combine like terms, add the coefficients of 3h and 4h to get 7h, and combine the constants -12 and +4 to get -8.

Step-by-step explanation:

-12 and +4 to get -8. When you combine like terms 3h and 4h, you add their coefficients together. The like terms are terms that contain the same variable raised to the same power. In this case, both terms have the variable h raised to the first power. Therefore, you add the coefficients 3 and 4, which gives us 7h. The constant terms, -12 and +4, can also be combined by addition: -12 + 4 equals -8. The final expression with like terms combined is 7h - 8.

When combining like-terms, the coefficients of the like-terms will be added together. In the expression 3h - 12 + 4h + 4, the like-terms are the terms with the variable h. Adding the coefficients of the like-terms, we get 3 + 4 = 7. Therefore, the final coefficient for the like-terms is 7h.