Question

What is the missing term of m² +14m +______ to make it a perfect square trinomial?​

Answer 1

m²+2×m×7+(7)²

=m²+14m+49

Therefore the missing term is 49

Hope it helps.....

please mark as brainliest......

Answer 2

SOLUTION

TO DETERMINE

The missing term of m² + 14m +______ to make it a perfect square trinomial

EVALUATION

Here the given expression m² + 14m

Now

$\sf{ {m}^{2} + 14m }$

$\sf{ = {m}^{2} + 2 \times m \times 7 }$

$\sf{ = {m}^{2} + 2 \times m \times 7 + {7}^{2} - {7}^{2} }$

$\sf{ = {(m + 7)}^{2} - 49 }$

Thus we have to add 49 in order to make it a perfect square trinomial

FINAL ANSWER

Hence the required missing term = 49

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

$1.$ Find the value of the expression a² – 2ab + b² for a = 1, b = 1

https://brainly.in/question/28961155

2. to verify algebraic identity a2-b2=(a+b)(a-b)

https://brainly.in/question/10726280