Question

Which expression is equivalent to 2x² - x + ?

O A
O
B
C
D
²(x - 2)²
2
IN
2 X-
16

Answer 1

Answer:
`2\left(x-(1)/(4) \right)^(2)`

Explanation:

`2x^(2)-x+(1)/(8)\\\\=2\left(x^(2)-(1)/(2)x \right)+(1)/(8)\\\\=2\left(\left(x-(1)/(4) \right)^(2)-(1)/(16) \right)+(1)/(8)\\\\=2\left(x-(1)/(4) \right)^(2)-(1)/(8)+(1)/(8)\\\\=\boxed{2\left(x-(1)/(4) \right)^(2)}`