Math  /  Algebra

Question4(3m+2n)5m+y -4(3m + 2n) - 5m + y

Studdy Solution

STEP 1

What is this asking? We need to simplify this expression by combining like terms. Watch out! Don't forget to distribute the 4-4 to *both* terms inside the parentheses!

STEP 2

1. Distribute
2. Combine like terms

STEP 3

Alright, let's **kick things off** by distributing that 4-4 to each term inside the parentheses.
Remember, distributing means multiplying each term inside the parentheses by the term outside.
It's like sharing the 4-4 with both the 3m3m and the 2n2n!

STEP 4

4(3m+2n) -4 \cdot (3m + 2n) (43m)+(42n) (-4 \cdot 3m) + (-4 \cdot 2n) 12m+(8n) -12m + (-8n) 12m8n -12m - 8n So, distributing the 4-4 gives us 12m8n-12m - 8n.
This is because multiplying a negative number by a positive number results in a negative number.
Remember that adding a negative number is the same as subtracting a positive number.

STEP 5

Now, let's put that back into the original expression: 12m8n5m+y -12m - 8n - 5m + y

STEP 6

Now, let's **gather our like terms**!
Like terms are terms that have the same variable raised to the same power.
Think of it like sorting apples and oranges – we can combine all the apples together and all the oranges together, but we can't combine apples and oranges.

STEP 7

Here, our like terms are 12m-12m and 5m-5m.
Let's combine them! 12m5m=17m -12m - 5m = -17m Remember, when we subtract a number, we are adding its opposite.
So, we have 12m+(5m)-12m + (-5m), which gives us 17m-17m.

STEP 8

We don't have any other like terms for nn or yy, so our **simplified expression** becomes: 17m8n+y -17m - 8n + y

STEP 9

Our simplified expression is 17m8n+y-17m - 8n + y.

Was this helpful?

Studdy solves anything!

banner

Start learning now

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

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord