Question

Which of the following is a perfect square trinomial ?

Answer 1

The answer is A

Explanation:

Answer 2

For this case, we have that by definition, a perfect square trinomial, is a polynomial of three terms (also called trinomial) that results from squaring a binomial.

`(a + b) ^ 2 = a ^ 2 + 2ab + b ^ 2\\(a-b) ^ 2 = a ^ 2-2ab + b ^ 2`

We have:

`4x ^ 2-20xy + 25y ^ 2\\(2x) ^ 2 = 4x ^ 2\\(5y) ^ 2 = 25y ^ 2`

So:

`2 * 5y * 2x = 20xy`

So,
`4x ^ 2-20xy + 25y ^ 2`we can write it as:

`(2x-5y) ^ 2`

Answer:

Option A