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3 years ago

13

Expand and simplify x(x + 1)(x + 2)

1 answer:

zimovet [89]3 years ago

6 0

Answer:

$x^3$ + 3 $x^2$ + 2x

Step-by-step explanation:

x(x^2 + x + 2x + 2)

x ( x^2 + 3x + 2)

$x^3$ + 3 $x^2$ + 2x

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Write each expression in simplified radical form PLEASE HELP ITS DUE FRIDAY AND I DONT UNDERSTAND THIS AT ALL REALLY BAD TEACHER

Nonamiya [84]

Answer:

1) The simplified radical form is $\sqrt{36x^2}=6x$

2) The simplified radical form is $\sqrt{72x^3}=6x\sqrt{2x}$

3) The simplified radical form is $\sqrt{15x^8}=\sqrt{15}x^4$

4) The simplified radical form is $\sqrt{36x^7}=6x^3\sqrt{x}$

Step-by-step explanation:

1) Given expression is $\sqrt{36x^2}$

To find the simplified radical form of the given expression :

$\sqrt{36x^2}$

$=\sqrt{36\times x^2}$

$=\sqrt{36}\times \sqrt{x^2}$

$=\sqrt{6\times 6}\times \sqrt{x\times x}$

$=6\times x$

$\sqrt{36x^2}=6x$

Therefore the simplified radical form is $\sqrt{36x^2}=6x$

2)Given expression is $\sqrt{72x^3}$

To find the simplified radical form of the given expression :

$\sqrt{72x^3}$

$=\sqrt{72\times x^3}$

$=\sqrt{72}\times \sqrt{x^3}$

$=\sqrt{9\times 8}\times \sqrt{x\times x\times x}$

$=\sqrt{9}\times \sqrt{8}\times x\sqrt{x}$

$=3\times 2\sqrt{2}\times x\sqrt{x}$

$\sqrt{72x^3}=6x\sqrt{2x}$

Therefore the simplified radical form is $\sqrt{72x^3}=6x\sqrt{2x}$

3) Given expression is $\sqrt{15x^8}$

To find the simplified radical form of the given expression :

$\sqrt{15x^8}$

$=\sqrt{15\times x^8}$

$=\sqrt{15}\times \sqrt{x^8}$

$=\sqrt{5\times 3}\times \sqrt{x^4\times x^4}$

$=\sqrt{15}\times x^4$

$\sqrt{15x^8}=\sqrt{15}x^4$

Therefore the simplified radical form is $\sqrt{15x^8}=\sqrt{15}x^4$

4) Given expression is $\sqrt{36x^7}$

To find the simplified radical form of the given expression :

$\sqrt{36x^7}$

$=\sqrt{36\times x^7}$

$=\sqrt{36}\times \sqrt{x^7}$

$=\sqrt{6\times 6}\times \sqrt{x^3\times x^3\times x}$

$=6\times x^3\sqrt{x}$

$\sqrt{36x^7}=6x^3\sqrt{x}$

Therefore the simplified radical form is $\sqrt{36x^7}=6x^3\sqrt{x}$

3 0

3 years ago

Match each statement to the correct word or phrase below.

babymother [125]

Answer:

1. books | the first place to look when researching a speech-by-step explanation

2. encyclopedia | source of current information

3. almanac | provides statistical information on a variety of subjects

4. atlas | provides geographical data

5. periodical | most commonly used reference work

6. newspaper | source of current international, national, and local news

7. bibliography | list of related sources

8. mind map | collection of related ideas

9. thesis statement | a one-sentence summary of the speech

10. statement of purpose | identifies the expected reaction or response of the audience

Explanation:

1. Books are written texts which contain mostly all the detailed information, hence its the first place to look when researching for a speech

5. Periodicals are mainly journals, articles or magazines so we often use it as reference

8. Mind map is usually collection of all many ideas, major ideas.

9. Thesis statement is used at the first paragraph of an essay or speech which usually summarizes the entire speech in one sentence.

3 0

3 years ago

Read 2 more answers

What is the slope of (2,12) (4,20)

Ugo [173]

This is the formula for slope between two points:

$\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

$y_{2} =20\\y_{1} =12\\x_{2} =4\\x_{1}=2$

so...

$\frac{20-12}{4-2}$

$\frac{8}{2}$

4

The slope is 4

Hope this helped!

6 0

3 years ago

Read 2 more answers

Q. A pharmacist mixes 3 grams of compound with 5,000 milligrams of solution to create a prescription. How many total grams is th

Liula [17]

Answer: 8 grams

Step-by-step explanation:

We have two units of mass: grams and milligrams

The prescription has 3 grams of compound with 5,000 milligrams of solution.

To know how many grams in total there are in the mixture we must convert

5000 milligrams to grams.

By definition in 1 gram there are 1000 mg.

Then we perform the following operation

$5000\ mg * \frac{1\ grams}{1000\ mg}=5\ grams$

Then the total amount of grams in the prescription is:

$5+ 3=8\ grams$

7 0

3 years ago

Which undefined term is needed to define a circle?<br> Point <br> Radius <br> Line <br> Ray

astra-53 [7]

Answer:

<h2>POINT</h2>

Step-by-step explanation:

Of all the terms mentioned, only one of them is undefined, and that's a point.

Other terms have their own definitions (are defined).

3 0

3 years ago

Read 2 more answers