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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.

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3 letters without replacement 4 letters A B C D how many ways can this be done if the order of the choices matters
Veseljchak [2.6K]

Answer:

Since the order of choice matters, we will permute the values.                       a bit more explanation for this:

If the order of choice did NOT matter, ABC and BCA will be counted as one since order of choice does NOT matter

Since order of choice does matter, ABC , BCA and CAB are all different possibilities for the arrangement of the same 3 letters

Since we have 3 slots:

___  ___ ___

Now, for the first slot. You can out either one if the 4 alphabets in the first slot since no slot has been used as of now

So:

_<u>4</u>_ ___ ___

**Keep in mind that the 4 is the possible number of values this slot can have**

Now that one slot has been used, one of the 4 alphabets has been used and since we are not allowed to repeat the same alphabets, we are left with  3 more alphabets

we can put any one of the 3 alphabets in this second slot, Hence:

_<u>4</u>_ <u>_3_</u> ___

Now that 2 of the 4 alphabets have been used, we are left with only 2 alphabets, so there are only 2 possible alphabets for slot 3

Therefore:

_<u>4</u>_ _<u>3</u>_ _<u>2</u>_

Now that we know the possible alphabets for all 3 slots, we will multiply them with each other to get the total possible number of 3 - alphabet words we can make with 4 alphabets

Total possible words = 4 * 3 * 2

Total possible words = 24

We could've used the formula for Permutation as well

8 0
3 years ago
I need the steps to this question.
yanalaym [24]

im not sure but maybe look up how to calculate volume of a cone.. then go from there :D

3 0
3 years ago
Please help if you can :)
galben [10]

Answer:

In the pictures linked.

Step-by-step explanation:

The pictures I linked have the answers. Brainly wouldn't let me submit it because I apparently used bad words.

7 0
3 years ago
Answer please and explain some of them!
boyakko [2]
The first one is < because if you have 5 part of 7, you have more parts than if you have 4 parts of 7, but it’s negative so it’s the opposite
8 0
3 years ago
help please! I must solve using descartes law of signs or rational root theorem. show all steps please thanks!​
wel

Answer:

x=2 or x=3

Step-by-step explanation:

x^4 - 5x^3 + 7x^2 - 5x + 6 = 0

Step 1=Factor left side of equation.

(x-2) (x-3) (x^2 + 1) = 0

Step 2=Set factors equal to 0.

x-2 = 0 or x-3 = 0 or x^2 + 1 = 0.

Answer:x=2 or x=3

4 0
3 years ago
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