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8 grade maths

Factorize: - 6p – 12q?(a) (p – 2q)(b) 6(p – 2q)(c) 6(p – q)(d) (p – q)

Profile image of Aniket Singh
1 Year agoGrade
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1 Answer

Profile image of Askiitians Tutor Team
1 Year ago

Let's factorize the expression -6p - 12q step by step.

Identify common factors: The two terms in the expression are -6p and -12q. The common factor here is -6.

Factor out the common factor: We factor out -6 from both terms:

-6p - 12q = -6(p + 2q)

So, the factorized form of -6p - 12q is -6(p + 2q).

Check the given options: The options provided are: (a) (p - 2q) (b) 6(p - 2q) (c) 6(p - q) (d) (p - q)

The correct factorization matches none of the given options exactly. However, the factorization -6(p + 2q) corresponds to the structure of option (b) if we change the sign inside the parentheses.

Thus, the factorized form is -6(p + 2q), which doesn't match the provided options exactly. There seems to be a discrepancy in the answer choices or a possible typo.