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Simplify the following expression:

[tex]\[ 9 + 2(4 + 10) - 3(6 + 5) \][/tex]

Sagot :

GinnyAnsweridn
Sure, let's solve the given expression step by step:

### Step 1: Simplify inside the parentheses
First, we need to calculate the values inside the parentheses.

- Compute [tex]\( 4 + 10 \)[/tex]:
[tex]\[ 4 + 10 = 14 \][/tex]

- Compute [tex]\( 6 + 5 \)[/tex]:
[tex]\[ 6 + 5 = 11 \][/tex]

### Step 2: Multiplication
Next, we perform the multiplications outside the parentheses.

- After calculating the sums inside the parentheses, the expression becomes:
[tex]\[ 9 + 2(14) - 3(11) \][/tex]

- Compute [tex]\( 2 \times 14 \)[/tex]:
[tex]\[ 2 \times 14 = 28 \][/tex]

- Compute [tex]\( 3 \times 11 \)[/tex]:
[tex]\[ 3 \times 11 = 33 \][/tex]

### Step 3: Perform the addition and subtraction
Now, we substitute these values back into the expression:

[tex]\[ 9 + 28 - 33 \][/tex]

- Compute [tex]\( 9 + 28 \)[/tex]:
[tex]\[ 9 + 28 = 37 \][/tex]

- Finally, compute [tex]\( 37 - 33 \)[/tex]:
[tex]\[ 37 - 33 = 4 \][/tex]

### Final Answer
Therefore, the result of the expression [tex]\( 9 + 2(4+10) - 3(6+5) \)[/tex] is:
[tex]\[ \boxed{4} \][/tex]

Answer: 4

Step-by-step explanation:

Simplify this expression by using PEMDAS!

What is PEMDAS?

PEMDAS is an acronym used in math to show the order to solve equations:

Parentheses
Exponent
Multiplication
Division
Addition
Subtraction

Following PEMDAS, simplify the expression. First solve the equations inside of the parentheses:

[tex]9+2(4+10)-3(6+5) =9+2(14)-3(11)[/tex]

Now, use multiplication:

[tex]9+2(14)-3(11) = 9+28-33[/tex]

Add:

[tex]37-33[/tex]

Then subtract to get you final answer of:

4

Learn more about PEMDAS here: https://brainly.com/question/31331410/n

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