3(x+5) 
2
 −3(x+5)+6 simplified and in standard form 

We are given the expression:

\[
3(x + 5) - 3(x + 5) + 6
\]

Let's simplify step by step:

### Step 1: Expand the terms

First, expand both \( 3(x + 5) \) and \(-3(x + 5)\):

\[
3(x + 5) = 3x + 15
\]
\[
-3(x + 5) = -3x - 15
\]

Now substitute these into the original expression:

\[
(3x + 15) - (3x + 15) + 6
\]

### Step 2: Combine like terms

Now combine the like terms:
\[
3x + 15 - 3x - 15 + 6
\]

Notice that \( 3x \) and \( -3x \) cancel each other out, as do \( 15 \) and \( -15 \). We are left with:

\[
6
\]

### Final Answer:
The simplified expression in standard form is:

\[
6
\]

Would you like more details on any step or have further questions?

Here are 5 related questions to explore:
1. What is standard form in algebraic expressions?
2. How do you factor expressions like \( 3(x+5) \)?
3. What are like terms and how do you combine them?
4. Can we apply similar steps to quadratic expressions?
5. How would the solution change if we had different coefficients for \( x+5 \)?

**Tip:** Always start simplifying by expanding parentheses first to ensure clarity when combining terms.

3(x+5) - 3(x+5) + 6 simplified and in standard form

Learn how to simplify the algebraic expression 3(x+5) - 3(x+5) + 6 using the distributive property and combining like terms. This step-by-step guide explains key concepts in algebra, suitable for students in Grades 6-8.

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