1. Factorize the expression $ 3 x y - 2 + 3 y - 2 x $
A) $ (x+1),(3 y-2) $
B) $ (x+1),(3 y+2) $
C) $ (x-1),(3 y-2) $
D) $ (x-1),(3 y+2) $

2. Factorize the expression $ \mathrm{xy}-\mathrm{x}-\mathrm{y}+1 $
A) $ (x-1),(y+1) $
B) $ (x+1),(y-1) $
C) $ (x-1),(y-1) $
D) $ (x+1),(y+1) $

Given: Two statements

To find: The correct options as answers

Solution:

1. Factorize the expression

$ 3 x y - 2 + 3 y - 2x$

$3xy - 2 + 3 y - 2x$

=$3xy + 3 y - 2 - 2x$

=$3y(x + 1) - 2(x + 1)$

=$(3y - 2)(x + 1)$

Hence, the factors of $ 3xy - 2 + 3 y  -2x$

are $(x+1)$ and $(3y-2)$

So option A is CORRECT

2. Factorize the expression

$ x y - x -  y + 1$

$ x y - x -  y + 1$