The perfect square trinomial is D. 16x2 - 56xy + 49y2.

Here's why:

A perfect square trinomial is a trinomial that can be factored into the square of a binomial. In other words, it's the square of a binomial.

The general form of a perfect square trinomial is (ax)² - 2abx + (by)² or (ax)² + 2abx + (by)².

In option D, we have 16x2 - 56xy + 49y2.

This can be written as (4x)² - 2*4x*7y + (7y)², which fits the form of a perfect square trinomial.

Therefore, option D is the perfect square trinomial.

Question

The perfect square trinomial is D. 16x2 - 56xy + 49y2.

Here's why:

A perfect square trinomial is a trinomial that can be factored into the square of a binomial. In other words, it's the square of a binomial.

The general form of a perfect square trinomial is (ax)² - 2abx + (by)² or (ax)² + 2abx + (by)².

In option D, we have 16x2 - 56xy + 49y2.

This can be written as (4x)² - 2*4x*7y + (7y)², which fits the form of a perfect square trinomial.

Therefore, option D is the perfect square trinomial.

Knowee AI · Accepted Answer

The perfect square trinomial is D. 16x2 - 56xy + 49y2.

Here's why:

A perfect square trinomial is a trinomial that can be factored into the square of a binomial. In other words, it's the square of a binomial.

The general form of a perfect square trinomial is (ax)² - 2abx + (by)² or (ax)² + 2abx + (by)².

In option D, we have 16x2 - 56xy + 49y2.

This can be written as (4x)² - 2*4x*7y + (7y)², which fits the form of a perfect square trinomial.

Therefore, option D is the perfect square trinomial.

Which of the following is a perfect square trinomial?A.16x2 - 22xy + 49y2B.16x2 + 22xy - 49y2C.16x2 + 56xy - 49y2D.16x2 - 56xy + 49y2SUBMITarrow_backPREVIOUS