Hey there! How are you today?
First, when dealing with the Distributive Property, we always need to pay attention to what number/variable we are multiplying by.
The concept of the Distributive Property is to look at the number/variable outside of the parenthesis and then multiply it by all numbers/variables inside of the parenthesis individually, and then sum those products up.
If you're having trouble grasping this concept, here's an example:
Ex:
2(1 + 3)
Multiply the number outside of the parenthesis (2) by all numbers inside of the parenthesis (1 and 3) individually.
2*(1) + 2*(3)
Simplify the multiplication process.
2 + 6
Sum up our products.
8.
8 is our answer for this example.
Now that we've explained and practiced what we are working on, let's apply this concept to the real problem.
7(2x^2 + 9x - 3)
Multiply the number outside of the parenthesis (7) by all numbers/variables inside of the parenthesis (2x^2, 9x, and -3).
7(2x^2) + 7(9x) + 7(-3)
Simplify the first multiplication parenthesis.
7*2x^2 = 14x^2
Simplify the second multiplication parenthesis.
7*9x = 21x
Simplify the third and final multiplication parenthesis.
7*(-3) = -21 (When you multiply a positive by a negative, your product is negative).
Now, let's write down our final products as a whole answer. Remember to start from the highest exponent.
14x^2 + 21x - 21 is your final expression.
I hope this helps! Let me know if you have any questions or concerns down in the comment box below this answer, and I'll get back to you when I can.
Answer:3
Step-by-step explanation: the reason why it's 3 is because 54 divided by 9 is 6 and 6 divided by 2 is 3
84 feet because you would just add the 70 and 14 together
$69
$50 divided by 4= 12.50
12.30 divided by 2= 6.50
12.50 times 5 + 6.50 = $69
