$\bf \cfrac{\quad2-\frac{4}{x+2} \quad }{5+\frac{10}{x+2}}\implies \cfrac{\stackrel{LCD~of~x+2}{\frac{2(x+2)-4}{x+2}}}{\stackrel{LCD~of~x+2}{\frac{5(x+2)+10}{x+2}}}\implies \cfrac{\stackrel{distributing}{\frac{2x+4-4}{x+2}}}{\stackrel{distributing}{\frac{5x+10+10}{x+2}}}\implies \cfrac{\quad\frac{2x}{x+2} \quad }{\frac{5x+20}{x+2}} \\\\\\ \cfrac{2x}{\underline{x+2}}\cdot \cfrac{\underline{x+2}}{5x+20}\implies \cfrac{2x}{5x+20}\implies \cfrac{2x}{5(x+4)}$

4 0

3 years ago

Simplify the expression below. Then classify the resulting expression

evablogger [386]

Answer:

Simplified = 5

Classification = Monomial

Step-by-step explanation:

<h2>PART I: Simplify the expression</h2>

<u>Given expression:</u>

3x² + 6x + 5 - 3x (2 + x)

<u>Expand parenthesis by distributive property:</u>

= 3x² + 6x + 5 - 3x (2) - 3x (x)

= 3x² +6x + 5 - 6x - 3x²

<u>Put like terms together:</u>

= 3x² - 3x² + 6x - 6x + 5

= 0 + 0 + 5

= $\boxed{5}$

<h2>PART II: Classify polynomial</h2>

<u>Concept:</u>

Polynomial is classified by the number of terms a polynomial has.

Monomial: a polynomial with only one term
Binomial: a polynomial with two terms
...

<u>Classify the given expression:</u>

Original = 3x² + 6x + 5 - 3x (2 + x)

Simplified = 5

5 is a constant and it has only one term

Therefore, it is a <u>monomial</u>.

Hope this helps!! :)

Please let me know if you have any questions

3 0

2 years ago

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The following examples illustrate the associative property of multiplication.

kati45 [8]

Answer:

A) a • (b • c) = (a • b) • c

Step-by-step explanation:

The associative property of multiplication (or addition) shows that the order the numbers are multiplied it irrelevant, more specifically in the manners of parentheses.

So, the answer is A, which can also be seen in that substituting a as 5, b as 3, and c as 6 gives us the first example.

4 0

3 years ago

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