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Factorize the expression $6 x y + 6 − 9 y − 4 x$ .

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3 y − 2 2 x + 3

3 y − 2 2 x − 3

3 y + 2 2 x + 3

3 y + 2 2 x − 3

answer is A.

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Detailed Solution

Given expression is

6 x y + 6 − 9 y − 4 x

.
Rearrange the terms of the given expression,

6 x y − 4 x − 9 y + 6

Using factorization method,

⇒ 6 x y = 2 × 3 × x × y ⇒ − 4 x = − 2 × 2 × x ⇒ − 9 y = − 3 × 3 × y ⇒ 6 = 2 × 3

Taking out the common terms,

6 x y − 4 x − 9 y + 6 = 2 x 3 y − 2 − 3 3 y − 2 ⇒ 6 x y − 4 x − 9 y + 6 = 2 x − 3 3 y − 2

Therefore, the factors of given terms are

3 y − 2 2 x + 3

.
Hence, option 1 is correct.

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