Question

How will you know that the expression is a perfect square trinomial?

Answer 1

An expression will be said to be a perfect square trinomial if it takes the form of ax² + bx + c and if it satisfies the condition b² = 4ac.

Explanation:

An expression which is obtained from the square of a binomial equation is known as perfect square trinomial.

Now, the conditions for which an equation will be called a perfect square trinomial are;

i) It is of the form: ax² + bx + c

I) It satisfies the condition: b² = 4ac.

Thus, the perfect square formula could take the following forms:

(ax)² + 2abx + b² = (ax + b)²

Or

(ax)² − 2abx + b² = (ax − b)²