If a = 0.1039, then the value of 4a2 – 4a + 1 + 3a is:

Question:
If a = 0.1039, then the value of 4a2 – 4a + 1 + 3a is:
[A].

0.1039

[B].

0.2078

[C].

1.1039

[D].

2.1039

Answer: Option C

Explanation:

4a2 – 4a + 1 + 3a
= (1)2 + (2a)2 – 2 x 1 x 2a + 3a

   = (1 – 2a)2 + 3a

   = (1 – 2a) + 3a

   = (1 + a)

   = (1 + 0.1039)

   = 1.1039