Math / Algebra

QuestionFactor the expression using -3. $-15 c+21$

Studdy Solution

STEP 1

What is this asking? We need to rewrite the expression $-15c + 21$ by pulling out a factor of $-3$ . Watch out! Be super careful with the signs when factoring out a negative number!

STEP 2

1. Factor out -3

STEP 3

Let's rewrite our expression $-15c + 21$ to explicitly show the multiplication by $-3$ .
We can think of this as dividing each term by $-3$ and then multiplying the entire expression by $-3$ .
Why? Because that doesn't change anything!
It's like multiplying by one!

STEP 4

Dividing $-15c$ by $-3$ gives us $5c$ .
A negative divided by a negative is a positive!
Dividing $21$ by $-3$ gives us $-7$ .
A positive divided by a negative is a negative!

STEP 5

So, we can rewrite our expression as: $-3 \cdot (5c - 7)$ We've successfully factored out $-3$ !

STEP 6

Our factored expression is $-3(5c - 7)$ .

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QuestionFactor the expression using -3. $-15 c+21$

Studdy Solution

STEP 1

What is this asking? We need to rewrite the expression $-15c + 21$ by pulling out a factor of $-3$ . Watch out! Be super careful with the signs when factoring out a negative number!

STEP 2

1. Factor out -3

STEP 3

Let's rewrite our expression $-15c + 21$ to explicitly show the multiplication by $-3$ .
We can think of this as dividing each term by $-3$ and then multiplying the entire expression by $-3$ .
Why? Because that doesn't change anything!
It's like multiplying by one!

STEP 4

Dividing $-15c$ by $-3$ gives us $5c$ .
A negative divided by a negative is a positive!
Dividing $21$ by $-3$ gives us $-7$ .
A positive divided by a negative is a negative!

STEP 5

So, we can rewrite our expression as: $-3 \cdot (5c - 7)$ We've successfully factored out $-3$ !

STEP 6

Our factored expression is $-3(5c - 7)$ .

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QuestionFactor the expression using -3. −15c+21-15 c+21−15c+21

Studdy Solution

STEP 1

What is this asking? We need to rewrite the expression −15c+21-15c + 21−15c+21 by pulling out a factor of −3-3−3. Watch out! Be super careful with the signs when factoring out a negative number!

STEP 2

1. Factor out -3

STEP 3

Let's **rewrite** our expression −15c+21-15c + 21−15c+21 to explicitly show the multiplication by −3-3−3.We can think of this as dividing each term by −3-3−3 and then multiplying the entire expression by −3-3−3.Why? Because that doesn't change anything!It's like multiplying by one!

STEP 4

Dividing −15c-15c−15c by −3-3−3 gives us 5c5c5c.A negative divided by a negative is a positive!Dividing 212121 by −3-3−3 gives us −7-7−7.A positive divided by a negative is a negative!

STEP 5

So, we can **rewrite** our expression as: −3⋅(5c−7)-3 \cdot (5c - 7)−3⋅(5c−7) We've successfully **factored out** −3-3−3!

STEP 6

Our factored expression is −3(5c−7)-3(5c - 7)−3(5c−7).

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QuestionFactor the expression using -3. $-15 c+21$

What is this asking? We need to rewrite the expression $-15c + 21$ by pulling out a factor of $-3$ . Watch out! Be super careful with the signs when factoring out a negative number!

Let's rewrite our expression $-15c + 21$ to explicitly show the multiplication by $-3$ .
We can think of this as dividing each term by $-3$ and then multiplying the entire expression by $-3$ .
Why? Because that doesn't change anything!
It's like multiplying by one!

Dividing $-15c$ by $-3$ gives us $5c$ .
A negative divided by a negative is a positive!
Dividing $21$ by $-3$ gives us $-7$ .
A positive divided by a negative is a negative!

So, we can rewrite our expression as: $-3 \cdot (5c - 7)$ We've successfully factored out $-3$ !

Our factored expression is $-3(5c - 7)$ .