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Factorize the expression $3 x 3 y − 243 x y 3$ .

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3 x y x + 9 y x − 9 y

3 x y x − 9 y x − 9 y

3 x y x + 9 y x − y

3 x y x + 9 y x + 9 y

answer is A.

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Detailed Solution

Given expression is

3 x 3 y − 243 x y 3

.
Using the identity,

a 2 − b 2 = a − b a + b

Solving the expression,

3 x 3 y − 243 x y 3 = 3 x y x 2 − 81 y 2 ⇒ 3 x 3 y − 243 x y 3 = 3 x y x − 9 y x + 9 y

Therefore, the factors of

3 x 3 y − 243 x y 3

3 x y x + 9 y x − 9 y

.
Hence, option 1 is correct.

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