Question

Which of the following is a perfect square trinomial?a). 25x2 16xy - 9y2 b). 25x2 - 30xy 9y2 c). 25x2 - 16xy 9y2 d). 25x2 30xy - 9y2

Answer 1

The correct answer is option c) 25x² - 16xy + 9y². A perfect square trinomial is a quadratic expression that can be factored into the square of a binomial. In this case, we need to look for a trinomial where the first and third terms are perfect squares, and the middle term is twice the product of the square roots of the first and third terms.

Step-by-step explanation:

The correct answer is option c) 25x2 - 16xy + 9y2.

A perfect square trinomial is a quadratic expression that can be factored into the square of a binomial. In this case, we need to look for a trinomial where the first and third terms are perfect squares, and the middle term is twice the product of the square roots of the first and third terms.

Let's check the given options:

25x2 + 16xy - 9y2 = not a perfect square trinomial

25x2 - 30xy + 9y2 = not a perfect square trinomial

25x2 - 16xy + 9y2 = a perfect square trinomial (can be factored as (5x - 3y)2)

25x2 + 30xy - 9y2 = not a perfect square trinomial

Therefore, the correct answer is option c) 25x2 - 16xy + 9y2.