Answer:
4(x +
)²
Explanation:
Given
h(x) = 4x² + 4x + 1
To complete the square the coefficient of the x² term must be 1
Factor out 4 from 4x² + 4x
h(x) = 4(x² + x) + 1
add/subtract ( half the coefficient of the x- term )² to x² + x
h(x) = 4(x² + 2(
)x +
-
) + 1
= 4(x +
)² - 1 + 1
= 4(x +
)²