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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

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Chetankachanaidn

Answer:

[tex]x^2 - 10x + 25[/tex]

Step-by-step explanation:

Hello!

Expand the square using the Distributive Property.

Expand

  • [tex](x - 5)^2[/tex]
  • [tex](x - 5)(x-5)[/tex]

Distributive x - 5 to each factor

  • [tex]x(x - 5) -5 (x - 5)[/tex]
  • [tex]x^2 - 5x - 5x+25[/tex]
  • [tex]x^2 - 10x + 25[/tex]

The answer is [tex]x^2 - 10x + 25[/tex].

We can also use a special binomial product formula.

Formula: [tex](a - b)^2 = a^2 - 2ab + b^2[/tex]

  • [tex](x - 5)^2 = x^2 - 2(x)(5) + 5^2[/tex]
  • [tex](x - 5)^2 = x^2 - 10x + 25[/tex]

We get the same answer both ways.

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