Question

n² + __ + 49

Find the missing to complete perfect trinomial square

Answer 1

(n+7)²
n²+2×7×n+7²
n²+14n+49
therefore, ___=14n

Answer 2

$\mathfrak{\huge{\grey{\underline{\underline{Answer:-}}}}}$

➡️ (n+7)²

➡️ n²+2×7×n+7²

➡️ n²+14n+49

➡️ Rewrite 49as 7²

➡️n²+14n+7²n²+14n+72

➡️ Check the middle term by multiplying 2ab2ab and compare this result with the middle term in the original expression.

➡️ 2ab=2⋅×n⋅×7

➡️ Simplify.

➡️ $2ab=14n$

➡️$Factor using the perfect square trinomial rule$

➡️$a²+2ab+b²=(a+b)$

➡️ $where a=n and b=7$

➡️$(n-7)²$