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Factorize the expression 6p – 12q.

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6 (p − 2 q)

6 (q − 2 p)

6 (2 p − q)

6 (2 q − p)

answer is A.

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Detailed Solution

The given expression is

6 p − 12 q .

Finding the prime factorization:

6 p = 2 × 3 × p 12 q = 2 × 2 × 3 × q

Therefore,

6 p + 12 q = 2 × 3 × p + 2 × 2 × 3 × q

Regrouping the terms:

⇒ 6 p + 12 q = 2 × 3 × p + 2 × 3 × 2 × q

Taking the common terms out:

⇒ 6 p + 12 q = 2 × 3 p + 2 × q ⇒ 6 p + 12 q = 6 p + 2 q

Therefore, the factorization of the expression

6 p − 12 q

equals to

6 (p − 2 q) .

Hence, option 1 is correct.

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