109k views
0 votes
Fill in the gap to factorise this expression 2x² + 2x = __ (x + 1).

1 Answer

4 votes

Final answer:

To factorize the expression 2x² + 2x, we extract the common factor of 2x from both terms, which gives us 2x(x + 1) as the factorized form.

Step-by-step explanation:

To factorize the expression 2x² + 2x, we first look for common factors in both terms. Here, we can see that the number 2 and the variable x are common to both terms. So, we take 2x out as the common factor:

2x² + 2x = 2x(x + 1)

Factoring is the process of rewriting an expression as the product of its factors. In this case, the expression inside the parenthesis is (x + 1), and when multiplied back by 2x, gives us the original expression 2x² + 2x.

Therefore, the gap should be filled with 2x to factorize the expression completely.

User Snympi
by
8.0k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories