Evaluate the expression for a=6.
Write your answer in simplest form.
–
a+4
6(
–
a+5)
=

Let's evaluate the given expression step by step.

The expression is:

\[
-(a+4) \cdot 6 \cdot \left( -(a+5) \right)
\]

Now, let's substitute \( a = 6 \) into the expression:

\[
-(6+4) \cdot 6 \cdot \left( -(6+5) \right)
\]

First, simplify the terms inside the parentheses:

\[
-(6 + 4) = -10 \quad \text{and} \quad -(6 + 5) = -11
\]

Now substitute these values back into the expression:

\[
-10 \cdot 6 \cdot (-11)
\]

Next, multiply the numbers:

\[
-10 \cdot 6 = -60
\]
\[
-60 \cdot (-11) = 660
\]

So, the value of the expression is:

\[
660
\]

Would you like more details or have any questions?

Here are five related questions:
1. What is the general rule for distributing negatives across parentheses?
2. How does multiplying negative numbers affect the sign of the result?
3. What happens when you multiply three numbers, including negatives?
4. How can we factor expressions like \( -(a+4) \cdot 6 \)?
5. Why is order of operations important in evaluating expressions?

**Tip:** When multiplying negatives, remember that two negatives make a positive!

Evaluate the expression for a=6. Write your answer in simplest form. – a+4 6(– a+5) =

This problem guides students through evaluating an algebraic expression involving negative numbers and substitution for a = 6. Learn how to apply the distributive property and rules for multiplying negatives, with step-by-step simplification of the expression. Suitable for Grades 6-8 students.

Math Problem Statement

Evaluate the expression for a=6. Write your answer in simplest form. – a+4 6( – a+5)

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