Math  /  Algebra

Question(3k+9)(k+4)(3 k+9)-(k+4)

Studdy Solution

STEP 1

What is this asking? We're asked to simplify an expression by combining like terms. Watch out! Don't forget to distribute the negative sign correctly to *all* terms inside the parentheses!

STEP 2

1. Distribute the negative sign
2. Combine like terms

STEP 3

Alright, let's **kick things off** by distributing the negative sign to the terms inside the second set of parentheses.
Remember, subtracting a quantity is the same as adding the opposite of that quantity!
So, (k+4)(k+4) becomes k4-k-4.
This gives us:
(3k+9)+(k4)(3k + 9) + (-k - 4)

STEP 4

Now, let's remove those parentheses since we're just adding now.
3k+9k43k + 9 - k - 4

STEP 5

Let's **group our like terms** together.
Remember, *like terms* are terms that have the same variable raised to the same power.
In this case, we have 3k3k and k-k as our *k-terms*, and +9+9 and 4-4 as our *constant terms*.
3kk+943k - k + 9 - 4

STEP 6

Now, let's **combine** those *k-terms*!
We have 3kk3k - k, which is the same as 3k1k3k - 1k, which simplifies to 2k2k.
2k+942k + 9 - 4

STEP 7

Finally, let's **combine** our *constant terms*!
We have 949 - 4, which simplifies to 55.
2k+52k + 5

STEP 8

Our simplified expression is 2k+52k + 5!

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