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NISA [10]
4 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]4 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:

The distributive property is useful for this.

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  = x(x² -6x +8) -2(x² -6x +8)

  = x³ -6x² +8x -2x² +12x -16

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_____

<em>Additional comment</em>

I find it convenient to separate the terms of the shortest polynomial. That way, the distributive property doesn't need to be used quite so many times. Of course, any outside minus sign applies to all terms inside parentheses.

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\qquad\qquad\huge\underline{{\sf Answer}}☂

Let's solve ~

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