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NISA [10]
3 years ago
13

What is the correct order of operations for simplifying the expression (x+3)^2-(x^2+9)/2x^2?

Mathematics
1 answer:
Contact [7]3 years ago
3 0

The expression simplified is \frac{3}{x}

Step-by-step explanation:

The expression given in this problem is

\frac{(x+3)^2-(x^2+9)}{2x^2}

We proceed in the following way:

- First, we solve the square of the brackets:

\frac{x^2+6x+9-x^2-9}{2x^2}

- Now we add/subtract the similar terms:

\frac{(x^2-x^2)+6x+(9-9)}{2x^2}=\frac{6x}{2x^2}

- And now we simplify by 2x, and we get:

\frac{6x}{2x^2}=\frac{3}{x}

Learn more about simplification:

brainly.com/question/7014769

brainly.com/question/1430645

#LearnwithBrainly

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Answer:

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Step-by-step explanation:

5 0
3 years ago
Venita is factoring the expression 32ab-8b. She determines the GCF and writes the factored expression as 8b(4a-0). Which best de
Nimfa-mama [501]
Let's go through the steps of factoring that Venita should take.

1.) Find the greatest common factor (GCF). We only have two terms, so that makes it pretty easy.
32 = 1, 2, 4, 8, 16, 32
8 = 1, 2, 4, 8
The greatest common factor of 32 and 8 is 8. We can also factor out a <em>b</em> since that term appears in each part of the original expression. The GCF and variable should go on the outside of the parentheses.
8b(       )

2.) Now let's figure out what should go in the middle of the parentheses. To do this, use the original expression and divide each term. This is written in the parentheses. 

32ab ÷ 8b = 4a
8b ÷ 8b = 1

This would then result in the factored expression 8b(4a - 1). You can always check this by using the distributive property. Distribute 8b out to both expressions:
8b x 4a = 32ab
8b x 1 = 8b
32ab - 8b is the expression she started with, so your factored expression works!

Now that we went through the steps to solve the factored expression, let's check her answer. The only difference between Venita's and ours is that she has 0 as the second term while we have a 1. It seems that she had subtracted the GCF from the second term instead of dividing.
6 0
3 years ago
Read 2 more answers
Solve for x:
Keith_Richards [23]
It’s C because if you type it In this is what it comes out as

7 0
3 years ago
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Write 7,004,000 in scientific notation.
MAXImum [283]
<span>7,004,000 in scientific notation.
=</span>7.004 x 10^6
as 7 is the first non zero digit 
so decimal jumbed 6 numbers from right to left and exponent will be positive
option A is correct
hopr this helps
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3 years ago
Use the graph of y = f(x) to graph y= f(x) + 2
Mama L [17]

Explanation:


Draw a dot 2 units above each dot shown on the graph. Connect the dots in the same way they are connected here.


f(x)+2 simply translates the curve up 2 units.

7 0
3 years ago
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