How can you use the distributive property to check your work when factoring?

The Distributive property applies multiplication to an existing addition statement. It means that a number outside the parentheses/brackets of an addition problem can be multiplied by each number inside the parentheses/brackets.

For example:

Let us consider factorization of

1. 10m + 25

It becomes 5(2m + 5)

2. 27m² + 18m

it becomes 9m(3m + 2)

So, in order to check if we are factorizing in the correct steps, we shall multiply the split factors and the answer should be the same as the factor that needed to be factorized. We will multiply (9m * 3m) +(9m *2) = 27m²+18m

square root

step-by-step explanation: