Home
Class 9
MATHS
Verify (i) x ^(3) + y ^(3) = (x + y)...

Verify
(i) ` x ^(3) + y ^(3) = (x + y) (x ^(2) -xy + y ^(2))`
(ii) `x ^(3) -y ^(3) = (x-y) (x ^(2) +xy +y ^(2))`
using some non-zone positive integers and check by actual multiplication. Can you call these as identities ?

Promotional Banner

Topper's Solved these Questions

  • POLYNOMIALS AND FACTORISATION

    NCERT BANGLISH|Exercise THINK DISCUSS AND WRITE|4 Videos
  • POLYNOMIALS AND FACTORISATION

    NCERT BANGLISH|Exercise DO THESE|23 Videos
  • POLYNOMIALS AND FACTORISATION

    NCERT BANGLISH|Exercise EXERCISE 2.4|10 Videos
  • LINES AND ANGLES

    NCERT BANGLISH|Exercise THINK, DISCUSS AND WRITE|3 Videos
  • PROBABILITY

    NCERT BANGLISH|Exercise DO THIS|3 Videos

Similar Questions

Explore conceptually related problems

Factorise 8x ^(3) + 36 x ^(2) y + 54 xy ^(2) + 27 y ^(3).

Verify that x ^(3) + y ^(3) + z ^(3) - 3xyz =1/2 (x + y + z) [(x-y)^(2) + (y-z) ^(2) + (z-x) ^(2) ]

y = sqrt(1 + x^(2)) : y' = (xy)/(1 + x^(2))

Let's simplify:- (x + y) (x^2 -xy + y^2) + ( x - y) (x^2 + xy + y^2)

How can you find (x-y)^(3) without actual multiplication?

(x^(2)-2xy)dy+(x^(2)-3xy+2y^(2))dx=0

(2x-y)^(3)-(x+y)^(3)+(2y-x)^(3)

The fourth proportional of x - y , x^(2) - y^(2) " and " x^(2) - xy + y^(2) is

x^(3)y, x^(2)y^(2) " and " xy^(3) are in continued proportional.

If y^(1/3) + y^(-1/3) = 2x, prove that (x^2 - 1)y_2 + xy_1 = 9y .