Answer:
The answer is 4(x-2)(x-2) or 4[tex](x-2)^2[/tex]
Step-by-step explanation:
[tex]4x^2[/tex]-16x+16
There is a common factor of 4. Factor 4 out.
4( [tex]x^2[/tex]-4x+4)
Now, there is no factor in front of x, so seperate the equation into two parts, with one x on both sides:
(x ____) (x____)
The constant (4) is positive. Ways to multiply to get positive numbers:
negative x negative or
positive x positive.
Since (-4x) is negative, try with negative numbers first.
(x- ___ ) (x- ___)
Factors of 4 = 1,2,2,4
4 and 1 would combine to give 5.
2 and 2, however, work!
(x-2)(x-2)
FOIL.
x^2-2x-2x+4
x^2-4x+4
The answer is 4(x-2)(x-2) or 4[tex](x-2)^2[/tex]
