Solved on Nov 06, 2023

Find the expression that represents $-30+9k$ as a product with -3 as one of the factors.

STEP 1

Assumptions1. We are given the expression $-30+9k$ . . We want to express this as a product, with -3 as one of the factors.
3. The options are $-3(-10-3k)$ , $-3(-10+3k)$ , $-3(10-3k)$ , and $-3(10+3k)$ .

STEP 2

We need to distribute the - in each of the options to see which one gives us the original expression $-30+9k$ .

STEP 3

istribute the -3 in the first option.
$-3(-10-3k) =30 +9k$

STEP 4

istribute the -3 in the second option.
$-3(-10+3k) =30 -9k$

STEP 5

istribute the -3 in the third option.
$-3(10-3k) = -30 +9k$

STEP 6

istribute the -3 in the fourth option.
$-3(10+3k) = -30 -9k$

STEP 7

Compare the results from steps3-6 with the original expression $-30+9k$ . We see that the third option $-3(10-3k)$ gives us the original expression.
So, the expression $-30+9k$ can be shown as a product, with -3 as one of the factors, as $-3(10-3k)$ .

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Find the expression that represents $-30+9k$ as a product with -3 as one of the factors.

STEP 1

Assumptions1. We are given the expression $-30+9k$ . . We want to express this as a product, with -3 as one of the factors.
3. The options are $-3(-10-3k)$ , $-3(-10+3k)$ , $-3(10-3k)$ , and $-3(10+3k)$ .

STEP 2

We need to distribute the - in each of the options to see which one gives us the original expression $-30+9k$ .

STEP 3

istribute the -3 in the first option.
$-3(-10-3k) =30 +9k$

STEP 4

istribute the -3 in the second option.
$-3(-10+3k) =30 -9k$

STEP 5

istribute the -3 in the third option.
$-3(10-3k) = -30 +9k$

STEP 6

istribute the -3 in the fourth option.
$-3(10+3k) = -30 -9k$

STEP 7

Compare the results from steps3-6 with the original expression $-30+9k$ . We see that the third option $-3(10-3k)$ gives us the original expression.
So, the expression $-30+9k$ can be shown as a product, with -3 as one of the factors, as $-3(10-3k)$ .

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Find the expression that represents −30+9k-30+9k−30+9k as a product with -3 as one of the factors.

STEP 1

STEP 2

We need to distribute the - in each of the options to see which one gives us the original expression −30+9k-30+9k−30+9k.

STEP 3

istribute the -3 in the first option.−3(−10−3k)=30+9k-3(-10-3k) =30 +9k−3(−10−3k)=30+9k

STEP 4

istribute the -3 in the second option.−3(−10+3k)=30−9k-3(-10+3k) =30 -9k−3(−10+3k)=30−9k

STEP 5

istribute the -3 in the third option.−3(10−3k)=−30+9k-3(10-3k) = -30 +9k−3(10−3k)=−30+9k

STEP 6

istribute the -3 in the fourth option.−3(10+3k)=−30−9k-3(10+3k) = -30 -9k−3(10+3k)=−30−9k

STEP 7

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

Find the expression that represents $-30+9k$ as a product with -3 as one of the factors.

We need to distribute the - in each of the options to see which one gives us the original expression $-30+9k$ .

istribute the -3 in the first option.
$-3(-10-3k) =30 +9k$

istribute the -3 in the second option.
$-3(-10+3k) =30 -9k$

istribute the -3 in the third option.
$-3(10-3k) = -30 +9k$

istribute the -3 in the fourth option.
$-3(10+3k) = -30 -9k$