Question

Add (g^2 + 494 + 59 + 9) + (393 + 3g^2 - 6).

1. Rewrite terms that are subtracted as the addition of the opposite.
2. Group like terms.
3. Combine like terms.
4. Write the resulting polynomial in standard form.

What is the sum?

a) ( -794 + 493 - 392 + 5g - 3 )
b) ( 494 - 3g^3 + 492 + 5g + 3 )
c) ( 494 + 4g^2 + 148 - 6 )
d) ( -394 + 149 - 6 )

Answer 1

First, rewrite the terms that are subtracted as the addition of the opposite. Group the like terms together and combine them. Finally, simplify the expression and write the resulting polynomial in standard form.

Step-by-step explanation:

1. First, we rewrite the terms that are subtracted as the addition of the opposite.
2. So the expression becomes (g^2 + 494 + 59 + 9) + (393 + 3g^2 + (-6)).
3. Next, we group the like terms together.
4. In this case, the like terms are the terms with the same powers of g.
5. So we have (g^2 + 3g^2) + (494 + 59 + 9 + 393 + (-6)).
6. Then, we combine the like terms by adding the coefficients of the same powers of g.
7. So we have 4g^2 + (494 + 59 + 9 + 393 + (-6)).
8. Finally, we simplify the expression by adding or subtracting the integers.
9. So we have 4g^2 + 949.

The resulting polynomial in standard form is 4g^2 + 949.