Which of the following is a perfect square trinomial?A.4x2 - 20xy + 25y2B.4x2 - 14xy + 25y2C.4x2 + 14xy - 25y2D.4x2 + 20xy - 25y2SUBMITarrow_backPREVIOUS
Question
Which of the following is a perfect square trinomial?A.4x2 - 20xy + 25y2B.4x2 - 14xy + 25y2C.4x2 + 14xy - 25y2D.4x2 + 20xy - 25y2SUBMITarrow_backPREVIOUS
Solution
The perfect square trinomial from the options given is A. 4x2 - 20xy + 25y2.
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 + b² or (ax)² + 2abx + b².
In option A, we have 4x2 - 20xy + 25y2.
This can be written as (2x)² - 2*(2x)*(5y) + (5y)², which fits the form of a perfect square trinomial.
Therefore, option A is the perfect square trinomial.
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