Home
Class 9
MATHS
Find 27a^(3) + 64b^(3) , if 3a + 4b = 10...

Find `27a^(3) + 64b^(3) `, if `3a + 4b = 10` and ab = 2

Text Solution

Verified by Experts

The correct Answer is:
`=280`
Promotional Banner

Topper's Solved these Questions

  • ALGEBRA

    FULL MARKS|Exercise Exercise 3.5|5 Videos
  • ALGEBRA

    FULL MARKS|Exercise Exercise 3.6|3 Videos
  • ALGEBRA

    FULL MARKS|Exercise Exercise 3.3|12 Videos
  • COORDINATE GEOMETRY

    FULL MARKS|Exercise TEXTBOOK ACTIVITY|2 Videos

Similar Questions

Explore conceptually related problems

Find a^(3) + b^(3) if a + b = 6, ab = 5

Faactorise (i) 27a ^(3) + 64 b ^(3) (ii) 343 y ^(3) -1000 using the above results.

Fractorise a ^(3) - 8b ^(3) - 64 c^(3) - 24 abc

Find A × B, A × A and B × A : A = {1, 2, 3} and B = {1, −4} .

Factorise a ^(3) - 3a^(2) b + 3ab ^(2) -b ^(3)

Fractorise 27a ^(3) + b ^(3) + 8c^(3) -18 abc using identity.

Verify that (AB)^(T) = B^(T) A^(T) if A = ({:( 2 , 3 , -1) , (4 , 1 , 5):}) and B = ({:( 1 , 2) , ( 3 , -3) , (2 , 6)):}

The minimum value of 2^(x^2-3)^(3+27) is a) 2^(27) (b) 2 (c) 1 (d) none of these

Let A = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} and B = { 2, 3, 5, 7 } . Find A ∩ B and hence show that A ∩ B = B .