Question

How is a perfect square trinomial similar to a perfect square number? Is it possible to have a perfect square binomial? Explain.

Answer 1

Yes, it is possible to have a perfect square binomial. The detailed information is given below.

What is the perfect square binomial to trinomial?

In trinomial, there are three terms and in binomial, there are two terms.

Let the perfect square of the binomial will be given as

⇒ (a + b)²

There are only two terms a and b and has a square on it. So the expression (a + b)² is a perfect square binomial.

Open the bracket, then we have

(a + b)² = a² + b² + 2ab

There are only three terms a², 2ab and b² and derived from a perfect binomial square. So the expression a² + b² + 2ab is a perfect square trinomial.

More about the perfect square binomial to trinomial link is given below.

brainly.com/question/14396504

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