Question

In your notebook, set up the following addition using a vertical format and find the sum of the given polynomials. 2mn + 4n 2 and 5m 2 - 7mn 9m2 + 9mn - 4n2 5m2 - 14mn - 4n2 5m2 - 5mn + 4n2 5m2 + 5mn - 4n2

Answer 1

`5m^2-5mn+4n^2`

C is correct.

Explanation:

Set up the following addition using a vertical format.

Vertical Format: Write each polynomial below their like term and then combine it

First expression:
`2mn+4n^2`

2nd Expression:
`5m^2-7mn`

Now, we will add vertically. If the variable part of the term is same then it would be like term.

Vertical Format:

`2mn+4n^2+0m^2`

`-7mn+0n^2+5m^2`

We wrote the like term below their corresponding.

Now, combine their coefficient and write variable as same.

`\Rightarrow -5mn+4n^2+5m^2`

We can rearrange the term according to options.

`\Rightarrow 5m^2-5mn+4n^2`

Hence, Th addition of two expression is
`5m^2-5mn+4n^2`

Answer 2

2mn + 4n² + 5m² - 7mn = 4n² + (2mn - 7mn) + 5m² = 4n² - 5mn + 5m²

Answer: C