Question

Quares and Differences of Squares

Factor.
22 - 4x + 4

a) (2+2)
b) (x - 2)
c) (x-4)²
d) (x + 4)²

Answer 1

To factor the expression 22 - 4x + 4a, we first factor out a 4, resulting in 4(5 - x + a). Then, we notice that the remaining expression inside the parentheses is a perfect square, so it can be written as (2 - x + a)^2.

Step-by-step explanation:

The given expression is 22 - 4x + 4a. To factor this expression, we need to look for common factors and use the difference of squares formula. In this case, we can factor out a 4 first, which gives us 4(5 - x + a). Now, we can see that the remaining expression inside the parentheses is a perfect square because the first term is the square of the last term. Therefore, the factored form is (2 - x + a)^2.