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

Answer:

2m+2n+7

Step-by-step 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