Question

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

Answer 1

Hint: Assume the given expression as E. First understand the meaning of the term ‘factorization’. Now, to factorize the expression E, take the common factors together from both the terms, which is 6 and write the remaining terms inside the bracket. Check the correct option from the given ones to get the answer.

Complete step by step answer:
Here we have been provided with the expression 6p – 12q and we are asked to factorize this expression. Let us assume the given expression as E, so we have,
$\Rightarrow E=6p-12q$
Now, the term ‘factorization’ means grouping of the common factors present in each term of the given expression. This common term can be any variable or constant or even an expression as a polynomial. In the above expression which is 6p – 12q we can see that the constant 6 is common in both the terms, so taking 6 common and writing the remaining terms in the bracket we get,
$\therefore E=6\left( p-2q \right)$

So, the correct answer is “Option b”.

Note: Note that you can check the correct option if they are present like in the above case by assigning some constant values to the variables p and q. What you need to do is substitute the assumed values in the expression 6p – 12q and find its value. Now, substitute the same values of p and q in the options and check which option gives the similar result.