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
Nuetrik [128]
2 years ago
7

36a^(4)b^(10)-81a^(16)b^(20) factor the given expression using the difference of squares pls

Mathematics
1 answer:
ozzi2 years ago
5 0

The factorized expression using difference of squares is as follows,

9a²b⁵ (2+3a⁶b⁵)(2-3a⁶b⁵)

Difference of Squares

Difference of squares is a factorization method where an expression can be factored as (a + b) (a - b) when considered as the difference of two perfect squares,  a²-b². For instance, factoring x²-25 results in (x+5) (x-5). By enlarging the parentheses in (a + b) (a - b), the pattern (a + b) (a - b)=a²-b² is used as the foundation for this technique.

Factorization Using Difference of Squares

Given expression is,

36a⁴b¹⁰ - 81a¹⁶b²⁰

= (6a²b⁵)² - (9a⁸b¹⁰)²

Using square of differences, we have

a² - b² = (a + b) (a - b)

Here, a = 6a²b⁵ and b = 9a⁸b¹⁰

Thus, we get,

(6a²b⁵ + 9a⁸b¹⁰)(6a²b⁵ - 9a⁸b¹⁰)

Further Factorization

We can take out 3 common from both the bracket terms after applying difference of squares

3×3(2a²b⁵ + 3a⁸b¹⁰)(2a²b⁵ - 3a⁸b¹⁰)

= 9(2a²b⁵ + 3a⁸b¹⁰)(2a²b⁵ - 3a⁸b¹⁰)

Further, we can take out a²b⁵ as common from both the bracket terms

= 9a²b⁵ (2+3a⁶b⁵)(2-3a⁶b⁵)

Learn more about difference of squares here:

brainly.com/question/11801811

#SPJ4

You might be interested in
John swims 5/12 of a mile in 3/8 of an hour what distance in miles does John swim in an hour
Setler79 [48]

Answer:

1.1 mph

Step-by-step explanation:

Step one:

John swims a distance of  5/12 miles

time taken = 3/8 of an hour

Required

The speed with which John swims

Step two:

speed= distance/time

substituting we have

speed= 5/12/3/8

multiply the numerator by the inverse of the denominator

speed= 5/12*8/3

speed= 40/36

speed= 1.1 mph

4 0
3 years ago
Can use the help please
tigry1 [53]
Common ratio = 6/3 = 2

10th term

= 3(2)^(10-1)

= 3 x 2^9

= 3 x 512

= 1536
5 0
3 years ago
Biometric measures evaluate: Question 17 options: data about a person's heartbeat, perspiration levels, respiration, and body mo
olga2289 [7]

Answer:

data about a person's heartbeat, perspiration levels, respiration, and body movements.

Step-by-step explanation:

the answer to the question is that

biometric measures are useful for evaluating data like that of heartbeat, perspiration levels, respiration, body movements of a person.

Biometrics is useful for the evaluation of the physical characteristics of a person. such a measure is for authentication and security identification. the system gives allowance for certain features of a person to be recognized using biometric data and also algorithm.

3 0
3 years ago
A piece of fabric is 13 yard by 358 yards.
EastWind [94]

Answer:4654 square yards

Step-by-step explanation:

13 x 358 = 4654

8 0
3 years ago
How much interest will be earned in 4 years from $2,450 placed in a savings account at 6.5% simple interest? (Remember the I=PRT
Nikolay [14]

Answer:

6100.80

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Other questions:
  • Simplify the following in the form of a + b √c<br><br>2√2-7√8+4√½+8√32​
    9·1 answer
  • hellen raised 12$ for the food bank last year and she raised 6 times as much money this year how much money did she raise this y
    8·1 answer
  • 4<br> What is the value of the expression (81 1/4)4<br> ?
    14·1 answer
  • For each 11 mm of coloured fabric June uses to make her curtains, she also uses 10 cm of white fabric. Express the amount of whi
    11·1 answer
  • What is 48,000 oz in T
    6·1 answer
  • Multiply the following -7x(11x +12)
    10·2 answers
  • WILL GIVE A BRAINLIEST!!
    14·2 answers
  • Gina has $87 in her piggy bank. She spends $32.67 on a gift for her sister. How much money does Gina have left?
    11·2 answers
  • Lana bought a sports car for $75,700. If the value of her car decreases 4.3% annually.
    12·1 answer
  • Is the answer 62 help plz
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!