Answer:
4(x -2)²
Step-by-step explanation:
Common factor
4
2
−
1
6
+
1
6
4x^{2}-16x+16
4x2−16x+16
4
(
2
−
4
+
4
)
4(x^{2}-4x+4)
4(x2−4x+4)
2
Use the sum-product pattern
4
(
2
−
4
+
4
)
4(x^{2}{\color{#c92786}{-4x}}+4)
4(x2−4x+4)
4
(
2
−
2
−
2
+
4
)
4(x^{2}{\color{#c92786}{-2x}}{\color{#c92786}{-2x}}+4)
4(x2−2x−2x+4)
3
Common factor from the two pairs
4
(
2
−
2
−
2
+
4
)
4(x^{2}-2x-2x+4)
4(x2−2x−2x+4)
4
(
(
−
2
)
−
2
(
−
2
)
)
4(x(x-2)-2(x-2))
4(x(x−2)−2(x−2))
4
Rewrite in factored form
4
(
(
−
2
)
−
2
(
−
2
)
)
4(x(x-2)-2(x-2))
4(x(x−2)−2(x−2))
4
(
−
2
)
(
−
2
)
4(x-2)(x-2)
4(x−2)(x−2)
5
Combine to a square
4
(
−
2
)
(
−
2
)
4(x-2)(x-2)
4(x−2)(x−2)
4
(
−
2
)
2
yan na po
