Analyze the Expression: 2×(10+2)×(20+2) Decomposition

Question

Which exercise does the following decomposition represent?

$2\times(10+2)\times(20+2)$

00:00 Find the expression representing the correct factorization of the exercise

00:03 Let's solve what's inside the parentheses to find the expression

00:13 And this is the solution to the question

Note that all parentheses represent a number for us.

This means that if we solve the expressions in parentheses, we will get an exercise of multiplication between three numbers.

We will leave 2 as it is since it is not a number inside parentheses but stands on its own.

Let's solve each of the expressions in parentheses to discover what the numbers are:

$10+2=12$

$20+2=22$

Therefore, the exercise we got is multiplication between three numbers:

$2\times12\times22$

$2\times12\times22$