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Ahat [919]
2 years ago
6

Simplify the expression below. Then classify the resulting expression

Mathematics
2 answers:
maw [93]2 years ago
4 0

The answer is 5, which is a monomial.

Let's simplify using the distributive property.

  • 3x² + 6x + 5 - 3x(2) - 3x(x)
  • 3x² + 6x + 5 - 6x - 3x²
  • 5

If the resulting expression has only one term, it is classified as a monomial.

evablogger [386]2 years ago
3 0

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

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