the given is
x2 – 4x + 4
The first term of each factor is x.
The first term, x2 is the result of x times x.So the first term of each factor is x.(x + _ )(x + _ )
The coefficient of the middle term is negative.
So we need two negative numbers whose product is 4 and whose sum is –4.
Find the pair with the correct sum and write the factored form.
The numbers –2 and –2 are the only pair with the sum –4.So,x2 – 4x + 4 = (x – 2)(x – 2)Simplify.x2 – 4x + 4 = (x – 2)2
that's it.. so easy