Solved on Feb 21, 2024

Simplify the expression $-4(3+9)$ and select the correct answer.

STEP 1

Assumptions
1. We are given an algebraic expression: $-4(3+9)$
2. We need to simplify the expression by performing the indicated operation, which is multiplication after applying the distributive property.

STEP 2

Apply the distributive property to multiply $-4$ by each term inside the parentheses.
$-4(3+9) = -4 \cdot 3 + (-4) \cdot 9$

STEP 3

Perform the multiplication for each term.
$-4 \cdot 3 = -12$ $(-4) \cdot 9 = -36$

STEP 4

Combine the results of the multiplication.
$-12 + (-36)$

STEP 5

Add the two negative numbers.
$-12 + (-36) = -12 - 36$

STEP 6

Calculate the sum.
$-12 - 36 = -48$
The simplified result of the expression $-4(3+9)$ is $-48$ .

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Simplify the expression $-4(3+9)$ and select the correct answer.

STEP 1

Assumptions
1. We are given an algebraic expression: $-4(3+9)$
2. We need to simplify the expression by performing the indicated operation, which is multiplication after applying the distributive property.

STEP 2

Apply the distributive property to multiply $-4$ by each term inside the parentheses.
$-4(3+9) = -4 \cdot 3 + (-4) \cdot 9$

STEP 3

Perform the multiplication for each term.
$-4 \cdot 3 = -12$ $(-4) \cdot 9 = -36$

STEP 4

Combine the results of the multiplication.
$-12 + (-36)$

STEP 5

Add the two negative numbers.
$-12 + (-36) = -12 - 36$

STEP 6

Calculate the sum.
$-12 - 36 = -48$
The simplified result of the expression $-4(3+9)$ is $-48$ .

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Simplify the expression −4(3+9)-4(3+9)−4(3+9) and select the correct answer.

STEP 1

Assumptions1. We are given an algebraic expression: −4(3+9)-4(3+9)−4(3+9)2. We need to simplify the expression by performing the indicated operation, which is multiplication after applying the distributive property.

STEP 2

Apply the distributive property to multiply −4-4−4 by each term inside the parentheses.−4(3+9)=−4⋅3+(−4)⋅9-4(3+9) = -4 \cdot 3 + (-4) \cdot 9−4(3+9)=−4⋅3+(−4)⋅9

STEP 3

Perform the multiplication for each term.−4⋅3=−12-4 \cdot 3 = -12−4⋅3=−12 (−4)⋅9=−36(-4) \cdot 9 = -36(−4)⋅9=−36

STEP 4

Combine the results of the multiplication.−12+(−36)-12 + (-36)−12+(−36)

STEP 5

Add the two negative numbers.−12+(−36)=−12−36-12 + (-36) = -12 - 36−12+(−36)=−12−36

STEP 6

Calculate the sum.−12−36=−48-12 - 36 = -48−12−36=−48The simplified result of the expression −4(3+9)-4(3+9)−4(3+9) is −48-48−48.

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 $-4(3+9)$ and select the correct answer.

Assumptions
1. We are given an algebraic expression: $-4(3+9)$
2. We need to simplify the expression by performing the indicated operation, which is multiplication after applying the distributive property.

Apply the distributive property to multiply $-4$ by each term inside the parentheses.
$-4(3+9) = -4 \cdot 3 + (-4) \cdot 9$

Perform the multiplication for each term.
$-4 \cdot 3 = -12$ $(-4) \cdot 9 = -36$

Combine the results of the multiplication.
$-12 + (-36)$

Add the two negative numbers.
$-12 + (-36) = -12 - 36$

Calculate the sum.
$-12 - 36 = -48$
The simplified result of the expression $-4(3+9)$ is $-48$ .