Question

What is the sum of the polynomials (m+n+3)(m+n+4)

Answer 1

(m + n + 3)(m + n + 4)
First distribute the m in the first set of parentheses to the second set of parentheses. Do the same process with the n and the 3.
m^2 + mn + 4m + mn + n^2 + 4n + 3m +3n + 12
Combine Like terms. Final Answer:
m^2 + n^2 + 2mn + 7m + 7n + 12

Answer 2

2m+2n+7

Explanation:

Given: Two polynomial

`P_1=m+n+3`

`P_2=m+n+4`

We need to find the sum of polynomial.

`Sum=P_1+P_2`

`\Rightarrow (m+n+3)+(m+n+4)`

write like term together

`\Rightarrow m+m+n+n+3+4`

Combine the like term

`\Rightarrow 2m+2n+7`

Hence, The sum of two polynomial is 2m+2n+7