Question

n^2+?+49 fill in the missing term making a perfect trinomial square

Answer 1

$\textbf{Given:}$

$N^2+?+49$

$\textbf{To find:}$

$\text{The missing term making a perfect trinomial square}$

$\textbf{Solution:}$

$\text{Consider,}$

$N^2+49$

$=N^2+7^2$

$\text{To make it as a perfect square, add 14\,N }$

$=N^2+14\,N+7^2$

$=N^2+2(N)(7)+7^2$

$\text{Using the identity,}$

$\boxed{\bf\,(a+b)^2=a^2+b^2+2\,ab}$

$=(N+7)^2\;\text{which is a perfect square}$

$\textbf{Answer:}$

$\textbf{The missing term is \bf\,14\,N }$

Answer 2

Answer:

14n

Step-by-step explanation:

n² + ? + 49

[ °.° (a+b)² = a² + 2ab +b² ]

=> (n)² + 2*n*7 + (7)²

=> n² + 14n + 49

Hence,  is the missing term in n² + ? + 49