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Select the polynomial that is a perfect square trinomial.Group of answer choices9x2 + 9x + 136b2 − 24b + 816x2 + 24x + 94a2 − 10a + 25

Question

Select the polynomial that is a perfect square trinomial.Group of answer choices9x2 + 9x + 136b2 − 24b + 816x2 + 24x + 94a2 − 10a + 25

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Solution

The perfect square trinomial from the given options is 4a^2 - 10a + 25.

Here's why:

A perfect square trinomial is a trinomial that can be written as (ax+b)^2 or (ax-b)^2.

In the case of 4a^2 - 10a + 25, it can be written as (2a - 5)^2.

Here's the step-by-step breakdown:

  1. The square root of 4a^2 is 2a.
  2. The square root of 25 is 5.
  3. The middle term is negative, so we use (ax - b)^2.
  4. The 22a5 gives us the middle term -10a.

So, 4a^2 - 10a + 25 is a perfect square trinomial.

This problem has been solved

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