Question Expand the expression $3(x-8)$ and simplify the result.

Studdy Solution

STEP 1

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

STEP 2

Apply the distributive property, which states that $a(b+c) = ab + ac$ for any real numbers $a$ , $b$ , and $c$ .
$3(x-8) = 3 \cdot x + 3 \cdot (-8)$

STEP 3

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

STEP 4

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

STEP 5

Combine the results from STEP_3 and STEP_4 to write the final expanded expression.
$3(x-8) = 3x - 24$
The expanded expression is $3x - 24$ .

Was this helpful?

Question Expand the expression $3(x-8)$ and simplify the result.

Studdy Solution

STEP 1

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

STEP 2

Apply the distributive property, which states that $a(b+c) = ab + ac$ for any real numbers $a$ , $b$ , and $c$ .
$3(x-8) = 3 \cdot x + 3 \cdot (-8)$

STEP 3

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

STEP 4

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

STEP 5

Combine the results from STEP_3 and STEP_4 to write the final expanded expression.
$3(x-8) = 3x - 24$
The expanded expression is $3x - 24$ .

Get Studdy

Studdy solves anything!

Start learning now

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

Question Expand the expression 3(x−8)3(x-8)3(x−8) and simplify the result.

Studdy Solution

STEP 1

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

STEP 2

Apply the distributive property, which states that a(b+c)=ab+aca(b+c) = ab + aca(b+c)=ab+ac for any real numbers aaa, bbb, and ccc.3(x−8)=3⋅x+3⋅(−8)3(x-8) = 3 \cdot x + 3 \cdot (-8)3(x−8)=3⋅x+3⋅(−8)

STEP 3

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

STEP 4

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

STEP 5

Combine the results from STEP_3 and STEP_4 to write the final expanded expression.3(x−8)=3x−243(x-8) = 3x - 243(x−8)=3x−24The expanded expression is 3x−243x - 243x−24.

Get Studdy

Studdy solves anything!

Start learning now

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

Question Expand the expression $3(x-8)$ and simplify the result.

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

Apply the distributive property, which states that $a(b+c) = ab + ac$ for any real numbers $a$ , $b$ , and $c$ .
$3(x-8) = 3 \cdot x + 3 \cdot (-8)$

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

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

Combine the results from STEP_3 and STEP_4 to write the final expanded expression.
$3(x-8) = 3x - 24$
The expanded expression is $3x - 24$ .