Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • NCERT
  • Verify: (i) x ^3 + y ^3 = (x + y ) (x ^2 - xy + y ^2)

9.(i) Verify:

   (i)    x^3 + y^3 = (x +y)(x^2 - xy + y^2)

Answers (1)

best_answer

We know that

(x+y)^3=x^3+y^3+3xy(x+y)

Now,

\Rightarrow x^3+y^3=(x+y)^3-3xy(x+y)

\Rightarrow x^3+y^3=(x+y)\left((x+y)^2-3xy \right )

\Rightarrow x^3+y^3=(x+y)\left(x^2+y^2+2xy-3xy \right )                                                (\because (a+b)^2=a^2+b^2+2ab)                                           

\Rightarrow x^3+y^3=(x+y)\left(x^2+y^2-xy \right )

Hence proved 

Posted by

Riya

View full answer

Similar Questions

Trending Articles/News

anam-khan

CBSE Board 2026: Class 10, 12 admit card out for private candidates; exam from February 17

Latest Question