Answer:
[tex](x+\frac{3}{2})^{2}-\frac{13}{4}[/tex]
Step-by-step explanation:
(x^2) + 3x – 1 = x² + 2×(3/2)x - 1
= [(x + 3/2)² - (3/2)²] - 1
= (x + 3/2)² - 9/4 - 1
= (x + 3/2)² - (9/4 + 4/4)
= (x + 3/2)² - 13/4
