1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ipn [44]
3 years ago
10

Directions : Factor each of the following Differences of two squares and write your answer together with solution​

Mathematics
2 answers:
N76 [4]3 years ago
4 0

\huge \boxed{\mathfrak{Question} \downarrow}

Factor each of the following differences of two squares and write your answer together with solution.

\large \boxed{\mathbb{ANSWER\: WITH\: EXPLANATION} \downarrow}

<h3><u>1. x² - 36</u></h3>

\sf \: x ^ { 2 } - 36

Rewrite \sf\:x^{2}-36 as x^{2}-6^{2}. The difference of squares can be factored using the rule:\sf\: a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).

\boxed{ \boxed{ \bf\left(x-6\right)\left(x+6\right) }}

__________________

<h3><u>2. 49 - x²</u></h3>

\sf \: 49 - x ^ { 2 }

Rewrite 49-x² as 7²-x². The difference of squares can be factored using the rule: \sf\:a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).

\sf \: \left(7-x\right)\left(7+x\right)

Reorder the terms.

\boxed{ \boxed{ \bf\left(-x+7\right)\left(x+7\right) }}

__________________

<h3><u>3. 81 - c²</u></h3>

\sf \: 81 - c ^ { 2 }

Rewrite 81-c²as 9²-c². The difference of squares can be factored using the rule: \sf\:a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).

\sf\left(9-c\right)\left(9+c\right)

Reorder the terms.

\boxed{ \boxed{ \bf\left(-c+9\right)\left(c+9\right) }}

__________________

<h3><u>4</u><u>.</u><u> </u><u>m²</u><u>n</u><u>²</u><u> </u><u>-</u><u> </u><u>1</u></h3>

\sf \: m ^ { 2 } n ^ { 2 } - 1

Rewrite m²n² - 1 as \sf\left(mn\right)^{2}-1^{2}. The difference of squares can be factored using the rule: \sf\:a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).

\boxed{ \boxed{ \bf\left(mn-1\right)\left(mn+1\right) }}

OverLord2011 [107]3 years ago
3 0

Step-by-step explanation:

please mark me as brainlest

You might be interested in
Write a rule that represents the function <br><br> (0,0), (1,6), (2,24), (3,54), (4,96)
Reptile [31]

    These points show that this is not going to be a linear line. This is actually a parabola.

    I find that the function rule is going to be

y=6x^2

<em>Hope this helps!!!</em>

5 0
3 years ago
Read 2 more answers
Nick walks 8 miles in 3 hours,and braylon walks 16 miles in 6 hours.what is the unit rate per hour
stich3 [128]

Answer: 2.6

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
What is the arithmetic of the following numbers? 4,9,6,3,4,2​
Nezavi [6.7K]

Answer:

4.7

Step-by-step explanation:

Just do 28/6 and the simplify it to 14/3 and divide and get 4.6 repeating round it to 4.7

5 0
3 years ago
answer What happens to the probability of landing on blue as more and more sections are added to the spinner?
sveta [45]

Answer: the probability of landing on blue as more and more colors are added is low because as you add more colors there is less and less of the blue

Step-by-step explanation: i am honestly just guessing dont come at me!!!

8 0
2 years ago
The local craft fair charges the vendors a flat rate of $15 plus $10 for each hour that they spend at the fair. If the vendor ow
bearhunter [10]

Answer:

Step-by-step explanation:

10h+15=65 subtract 15 from each side

10h=50, divide each side by 10

h=5

He was at the fair for 5 hours

8 0
3 years ago
Other questions:
  • ALGEBRA 1 ( 1 question )<br> HELPPPPPPP ASAP I NEEED TO FINISH THIS
    14·1 answer
  • The larger of two numbers is 7 times the smaller number. 3 times the larger number is 7 more than 4 times the smaller number. Fi
    11·1 answer
  • The figure below shows rectangle ABCD with diagonals segment AC and segment DB:
    6·2 answers
  • How to find the inter quartile range of these <br><br> 1,1,1,2,2,3,3,4,5
    15·1 answer
  • -3 1/3&lt; x/3-2 ≤ 1/6 Can anyone help me turn this into a simplified inequality?
    14·1 answer
  • How many hundreds are in 200 + 10 + 6​
    8·2 answers
  • Converting 30 pounds to ounces?
    7·2 answers
  • Find the product of 3 1/5 and 5/8<br> Express your answer in simplest form.
    13·1 answer
  • Y = 2x^2
    14·1 answer
  • Did the population of Town C increase by at least 100 percent from the year 2000 to the year 2010 ? The population of Town C in
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!