Answer:
You can use the definition of perfect square trinomials to find which of the given trinomials are perfect squares.
The trinomials which are perfect squares are:
Option B:
Option D:
What are perfect squares trinomials?
They are those expressions which are found by squaring binomial expressions.
How to find which of the given trinomials are perfect square trinomials?
Since the given trinomials are with degree 2, thus, if they are perfect square, the binomial which was used to make them must be linear.
Let the binomial term was am + b(a linear expression is always writable in this form where a and b are constants and m is a variable), then we will obtain:
Checking all options:
Option A:
Comparing it with the standard form we obtained, we have:
Option B:
Comparing it with the standard form we obtained, we have:
Thus, this trinomial is perfect squares trinomial.
Option C:
Comparing it with the standard form we obtained, we have:
Option D:
Comparing it with the standard form we obtained, we have:
Thus, this trinomial is perfect squares trinomial.
Thus,
The trinomials which are perfect squares are:
Option B:
Option D:
Explanation: