# 2 X + 4 Y – 8 X Y- 1 = ?

(a) (1 + 4Y) (2 X – 1)

(b) (1 – 4Y) (2 X – 1)

(c) (1 – 4 Y) (2 X + 1)

(d) None of these

**Answer: (b) (1 – 4 X) (2 X -1)**

**Solution:-**

2 X + 4 Y – 8 X Y – 1

– 8 X Y + 2 X + 4 Y – 1

– 2 X (4 Y – 1) + 1 (4 Y – 2)

(1 – 2 X ) (4 Y – 1)

– (1 – 4 X) (1 – 2 X)

(1 – 4 X) (2 X – 1)

Then, 2 X + 4 Y – 8 X Y – 1 = (1 – 4 X) ( 2 X -1)

Hence, the correct answer is option (b) (1 – 4 X) (2 X -1)