Solved on Jan 12, 2024

Simplify the expression $3(x-8)$ and show the step-by-step work.

STEP 1

Assumptions
1. We are given the expression $3(x-8)$ .
2. We need to expand the expression using the distributive property.

STEP 2

The distributive property states that for any real numbers $a$ , $b$ , and $c$ , the following is true:
$a(b + c) = ab + ac$

STEP 3

Apply the distributive property to the expression $3(x-8)$ by multiplying $3$ by each term inside the parentheses.
$3(x-8) = 3 \cdot x + 3 \cdot (-8)$

STEP 4

Multiply $3$ by $x$ to get the first term.
$3 \cdot x = 3x$

STEP 5

Multiply $3$ by $-8$ to get the second term.
$3 \cdot (-8) = -24$

STEP 6

Combine the results from STEP_4 and STEP_5 to get the expanded expression.
$3(x-8) = 3x - 24$
Therefore, the expanded form of $3(x-8)$ is $3x - 24$ .

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Simplify the expression $3(x-8)$ and show the step-by-step work.

STEP 1

Assumptions
1. We are given the expression $3(x-8)$ .
2. We need to expand the expression using the distributive property.

STEP 2

The distributive property states that for any real numbers $a$ , $b$ , and $c$ , the following is true:
$a(b + c) = ab + ac$

STEP 3

Apply the distributive property to the expression $3(x-8)$ by multiplying $3$ by each term inside the parentheses.
$3(x-8) = 3 \cdot x + 3 \cdot (-8)$

STEP 4

Multiply $3$ by $x$ to get the first term.
$3 \cdot x = 3x$

STEP 5

Multiply $3$ by $-8$ to get the second term.
$3 \cdot (-8) = -24$

STEP 6

Combine the results from STEP_4 and STEP_5 to get the expanded expression.
$3(x-8) = 3x - 24$
Therefore, the expanded form of $3(x-8)$ is $3x - 24$ .

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Simplify the expression 3(x−8)3(x-8)3(x−8) and show the step-by-step work.

STEP 1

Assumptions1. We are given the expression 3(x−8)3(x-8)3(x−8).2. We need to expand the expression using the distributive property.

STEP 2

The distributive property states that for any real numbers aaa, bbb, and ccc, the following is true:a(b+c)=ab+aca(b + c) = ab + aca(b+c)=ab+ac

STEP 3

Apply the distributive property to the expression 3(x−8)3(x-8)3(x−8) by multiplying 333 by each term inside the parentheses.3(x−8)=3⋅x+3⋅(−8)3(x-8) = 3 \cdot x + 3 \cdot (-8)3(x−8)=3⋅x+3⋅(−8)

STEP 4

Multiply 333 by xxx to get the first term.3⋅x=3x3 \cdot x = 3x3⋅x=3x

STEP 5

Multiply 333 by −8-8−8 to get the second term.3⋅(−8)=−243 \cdot (-8) = -243⋅(−8)=−24

STEP 6

Combine the results from STEP_4 and STEP_5 to get the expanded expression.3(x−8)=3x−243(x-8) = 3x - 243(x−8)=3x−24Therefore, the expanded form of 3(x−8)3(x-8)3(x−8) is 3x−243x - 243x−24.

Start learning now

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

Simplify the expression $3(x-8)$ and show the step-by-step work.

Assumptions
1. We are given the expression $3(x-8)$ .
2. We need to expand the expression using the distributive property.

The distributive property states that for any real numbers $a$ , $b$ , and $c$ , the following is true:
$a(b + c) = ab + ac$

Apply the distributive property to the expression $3(x-8)$ by multiplying $3$ by each term inside the parentheses.
$3(x-8) = 3 \cdot x + 3 \cdot (-8)$

Multiply $3$ by $x$ to get the first term.
$3 \cdot x = 3x$

Multiply $3$ by $-8$ to get the second term.
$3 \cdot (-8) = -24$

Combine the results from STEP_4 and STEP_5 to get the expanded expression.
$3(x-8) = 3x - 24$
Therefore, the expanded form of $3(x-8)$ is $3x - 24$ .