Question

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

Answer 1

`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.