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juin [17]
3 years ago
7

Factor the expression below.

Mathematics
1 answer:
vitfil [10]3 years ago
6 0

9514 1404 393

Answer:

  a. (5x+2)(5x+2)

Step-by-step explanation:

You will recognize that the first (25x^2) and last (4) terms are perfect squares. The middle term is double the product of the roots of those squares:

  2(5x)(2) = 20x

This means the given expression is a perfect square trinomial, and that it is the square of (5x+2). This matches the first choice.

  25x^2 +20x +4 = (5x +2)^2 = (5x +2)(5x +2)

_____

Generically, ...

  (a +b)^2 = a^2 +2ab +b^2

Here, we have a=5x, b=2.

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