Answer:
Option 3rd is correct
\(25b^2-40b+16\)
Step-by-step explanation:
Formula for perfect square trinomial is given by:
\((a-b)^2 = a^2-2ab+b^2\)
From the given options:
A polynomial which is a perfect square trinomial is, \(25b^2-40b+16\)
Since,
We can write this as:
\(25b^2-40b+16 = (5b)^2-2 \cdot (5b) \cdot 4+4^2\)
Apply the formula we have;
\(25b^2-40b+16 = (5b-4)^2\)
Therefore, \(25b^2-40b+16\) is a perfect square trinomial
