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

1 Answer

6 votes

Answer:


x^2 - 10x + 25

Explanation:

Hello!

Expand the square using the Distributive Property.

Expand


  • (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.

User Jimmy Huch
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