Answer:
2(x +
)² +
Explanation:
2x² + 6x + 9 ← factor out 2 from the first 2 terms
= 2(x² + 3x) + 9
using the method of completing the square
add/subtract ( half the coefficient of the x- term)² to x² + 3x
= 2(x² + 2(
)x +
-
) + 9
= 2(x +
)² + 2(-
) + 9
= 2(x +
)² -
+
= 2(x +
)² +
← in the form a(x + b)² + c