Question

what is the third term in b2+26b+________ to form a perfect square trinomial.​

Answer 1

13^2

Now

It is
b^2 + 2.(b).(13) + 13^2

Answer 2

The third term is 13², b² +26b+ 13² is the perfect square trinomial.

GIVEN:- b²+26b+...

TO FIND:- The third term in b²+26b+

SOLUTION:-

• An expression attained from the squaring of the binomial equation is a perfect square trinomial.

• If a trinomial is in the form ax² + bx + c then it is known to be a perfect square which is possible if and only if it satisfies the condition b² = 4ac.

According to the question,

• Applying (a + b)² = a² + 2ab + b²

2 × first term × third term = second term

We already know the first term so we won't include it

2 × third term = 26

Third term = 26/2 = 13

Prove

b² + (2 × b × 13) + 13²

= b² + 26b + 13²

Hence, the third term is 13², b² +26b+ 13² is the perfect square trinomial.

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