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which trinomials are perfect square trinomials? select each correct answer. m2 10m 100 m squared plus 10 m plus 100 m2 36m 60 m squared plus 36 m plus 60 m2 10m 25 m squared plus 10 m plus 25 m2 24m 144 m squared plus 24 m plus 144 skip to navigation

User CFMLBread
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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:

User CptNemo
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