The expression (12.86 × 12.86 + 12.86 × p + 0.14 × 0.14) will be a perform square for p equal to _____?

0.28

0.26

None of these

To be a perfect square, the expression should be in the form:

(a + b)² = a² + 2ab + b²

Comparing the given expression:

(12.86 × 12.86 + 12.86 × p + 0.14 × 0.14)

We can see that:

a = 12.86

b = 0.14

So, 2ab = 2 × 12.86 × 0.14 = 3.60

Now, equate 12.86 × p to 2ab:

12.86 × p = 3.60

p ≈ 0.28