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
Svet_ta [14]
2 years ago
5

Show that: (p¼- q¼)(p¼ + q¼)(√P+√q)= p-q.​

Mathematics
2 answers:
Naily [24]2 years ago
4 0

Answer:

See below ~

Step-by-step explanation:

Identity used :

  • (a - b)(a + b) = a² - b²

Simplifying the LHS :

  • (p¼ - q¼)(p¼ + q¼)(√p + √q)
  • (√p - √q)(√p + √q)
  • p - q
  • Equal to the RHS

∴ Hence, it is proved √

Irina18 [472]2 years ago
3 0

Answer:

Step-by-step explanation:

let p¼ = a, q¼ = b

L.H.S. = (a - b)(a + b)(a² + b²) = (a² - b²)(a² + b²) = (a²)² - (b²)² = p - q = R.H.S.

You might be interested in
The square of the sum of two consecutive positive even integers is greater than the sum of their squares by 48. Find the two int
koban [17]

Answer:

  • 4 and 6 or -6 and -4

Step-by-step explanation:

Let the numbers are 2x and 2x + 2.

<u>We have:</u>

  • (2x + 2x + 2)² = (2x)² + (2x + 2)² + 48
  • 4(2x + 1)² = 4x² + 4(x + 1)² + 48
  • (2x + 1)² = x² + (x + 1)² + 12
  • 4x² + 4x + 1 = x² + x² + 2x + 1 + 12
  • 2x² + 2x - 12 = 0
  • x² + x - 6 = 0
  • (x - 2)(x + 3) = 0
  • x = 2, x = -3

<u>The numbers are:</u>

  • 4 and 6 or - 6 and - 4

3 0
2 years ago
1. The local deli sells sandwich pepperoni.
Maurinko [17]
The volume of the pepperoni is 53240 millimeters
6 0
3 years ago
X+4x +6x= Simplify each expression
lozanna [386]
You add like terms together
1x+4x+6x are like terms

=11x
3 0
2 years ago
Read 2 more answers
A bag contains tiles of different colors. Roshan randomly selects a tile from the bag and returns the tile to the bag after reco
sweet [91]

Answer:

6/41

Step-by-step explanation:

6 + 7 + 20 + 8 = 41 so that is number of tiles he took. 6 of those were 41 so therefore, the chance is 6/41

7 0
2 years ago
Read 2 more answers
How do you find an explicit formula?
bazaltina [42]
If you can find an explicit formula for a sequence, you will be able to quickly and easily find any term in the sequence simply by replacing n with the number of the term you seek. An explicit formula designates the nth term of the sequence, as an expression of n (where n = the term's location).
6 0
3 years ago
Other questions:
  • What the answer to 10m=450​
    5·2 answers
  • Some populations, such as bacteria, can be expected under the right conditions to show exponential growth. If 5500 bacteria of a
    10·1 answer
  • The sum of the measures of two complementary angles is 90 degrees. If one angle measures 39 degrees more than 2 times the measur
    10·1 answer
  • What is the probability of choosing a random license plate who's letter spell out the word"MOM"?
    12·1 answer
  • What are the roots of this function? f(x) = x2 – 8x + 12
    13·1 answer
  • 2.) Kyle swims a 1/2 mile every 1/4 hour. How far will he swim in one hour?
    13·1 answer
  • A college football team plays 10 games during which the season. In how many ways can it
    11·1 answer
  • Caps in the mall is having a 40% off sale on all baseball hats. Mary paid $12 for her favorite hat that was on sale. What was th
    9·1 answer
  • Please help before 12:55!
    13·2 answers
  • Write four equivalent fractions for 3/5.
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!