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
56: =24:3
dmitriy555 [2]
56:7=24:3
3x3=27:3
8x2=64:4
45:9=35:7
4x5=10x2
42:6=63:9
28:4=7x1
2x2=36:9
5 0
2 years ago
HALLP!! DUE IN 20 MINS!!! PLS HALLP! IF YOU HELP ILL MAKE IT BRAINLIEST! (Only if the answers right tho) Which table represents
Fantom [35]

Answer:

Step-by-step explanation:

top right is nonlinnear

7 0
3 years ago
Read 2 more answers
roy has a price chart below for various ingredients he needs to order for his pizza parlor. Pizza Ingredients Item Cost (per pou
denis23 [38]
93.75 is right answer 20 words so snddnw dwdinwd
8 0
3 years ago
Read 2 more answers
Prove that for all n in the naturals, n(n+1)(n+2) is divisible by 3
DerKrebs [107]
By induction:

It's true for n=1, since 1\cdot2\cdot3 clearly contains a factor of 3.

Suppose it's true for n=k, that k(k+1)(k+2) is divisible by 3. Then

(k+1)(k+2)(k+3)=\dfrac{k(k+1)(k+2)(k+3)}k=\dfrac{3m(k+3)}k

where m is an integer. This reduces to

\dfrac{3m(k+3)}k=3m+9\dfrac mk

and both terms are clearly multiples of 3. We know that \dfrac mk is an integer since we had set m=k(k+1)(k+2) previously, which implies m is a multiple of k. So the statement is true.
6 0
3 years ago
4. HM SENSE-MAKING
meriva

Answer:

15x+55y+20

Step-by-step explanation:

mark me brainlest

7 0
2 years ago
Other questions:
  • An international company has 26,900 employees in one country. If this represents 16.9% of the company's employees, how many empl
    6·1 answer
  • Jessie is 6 years older than Todd, and Todd is 2 years younger than Ryan. If Ryan is r years old, which expression shows how old
    14·1 answer
  • What's the part of an expressions that are added or subtracted
    9·1 answer
  • Four and one-half minus three and five-eighths
    12·1 answer
  • A consumer charges a $46.92 purchase on a credit card. The card has a daily interest rate of 0.039%. If the consumer pays off th
    13·2 answers
  • in a tidal river, the time between high and low tide is 7.6 hours. At high tide the depth of water is 17.2 feet, while at low ti
    14·2 answers
  • Y= 5(x − 2)(x + 1)<br> Standard form?
    15·2 answers
  • What the answer plz help
    5·1 answer
  • PLEASE HELP QUICKLY!!!<br> Which one is it?<br> Need help.
    14·2 answers
  • Un triángulo rectángulo ABC recto en B , en la region relativa al lado AB se ubica el punto P, tal que la m
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!