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astraxan [27]
2 years ago
7

Find the product of (x − 5)2. (1 point) Group of answer choices x2 + 10x + 25 x2 − 10x + 25 x2 − 25 x2 + 25

Mathematics
1 answer:
Anuta_ua [19.1K]2 years ago
7 0

Answer:

x^2 - 10x + 25

Step-by-step explanation:

Hello!

Expand the square using the Distributive Property.

<h3>Expand</h3>
  • (x - 5)^2
  • (x - 5)(x-5)

Distributive x - 5 to each factor

  • x(x - 5) -5 (x - 5)
  • x^2 - 5x - 5x+25
  • x^2 - 10x + 25

The answer is x^2 - 10x + 25.

We can also use a special binomial product formula.

Formula: (a - b)^2 = a^2 - 2ab + b^2

  • (x - 5)^2 = x^2 - 2(x)(5) + 5^2
  • (x - 5)^2 = x^2 - 10x + 25

We get the same answer both ways.

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