<h3>
Answer: 2z^3</h3>
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Explanation:
The GCF of the coefficients {6, -42, 14} is 2 as it is the largest factor found in each of the three values.
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For the variable portions, we can
- write z^5 as z^3*z^2
- write z^4 as z^3*z^1
- write z^3 as z^3*1
Each time we see z^3 show up, so this is the largest common factor among the three variable terms.
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The two results we got were 2 and z^3
Putting the two results together, we end up with the overall GCF of 2z^3
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Answer:
2
Step-by-step explanation:
Answer:
-13x+5
Step-by-step explanation:
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QUESTION 1
The given equation is

Clear the decimal by multiplying through by 10 to get,

Expand the bracket using the distributive property to get;

Group similar terms to get,



Divide through by 50 to get,


QUESTION 2
We want to solve the inequality,

We expand the bracket using the distributive property to obtain,

Group similar terms to get,

Simplify to get,

We divide both sides of the inequality by -8 and reverse the sign to obtain,


QUESTION 3
Step 1.
Given:4(-6x – 3)+24x= -72x + 132
Step 2.
Distributive property:
-24x – 12 + 24x = -72x + 132
Step 3.
Combine like terms:
–12 = -72x + 132
Step 4.
Addition property of equality:
-144 = -72x
Step 5.
Division property of equality:
2=x
All the properties stated are correct.