QuestionFactor the expression $5 + 15n + 45m$ and identify the correct factorization from the options provided.

Studdy Solution

STEP 1

Assumptions1. We are given the expression $5+15n+45m$ . . We are asked to factor this expression.

STEP 2

We first look for the greatest common factor (GCF) of the coefficients in the expression. The GCF of5,15, and45 is5.

STEP 3

We can factor out the GCF from each term in the expression. This is done by dividing each term by the GCF and then multiplying the result by the GCF.
$5(1+3n+9m)$

STEP 4

Now, we check our work by distributing the back into the parentheses.
$(1+3n+9m) =+15n+45m$ Since this matches the original expression, we can conclude that the factored form of $+15n+45m$ is $(1+3n+9m)$ .

Was this helpful?

Get Studdy

Scan QR code with your device to get Studdy on iOS or Android

QR code

Studdy solves anything!

Download the app

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Parents Influencer program Contact Policy Terms