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$
=$ x (y - 1) - 1 (y - 1)$
= $(x - 1)(y - 1)$
Hence the factors of $ x y - x - y + 1$ are
$(x - 1)$ and $(y - 1)$
So option C is CORRECT
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