Maharashtra State BoardSSC (English Medium) 8th Standard
Advertisement Remove all ads

Simplify : (X + Y)3 − (X − Y)3 - Mathematics

Sum

Simplify :

(x + y)− (x − y)3

Advertisement Remove all ads

Solution

It is known that,

\[a^3  -  b^3  = \left( a - b \right)\left( a^2 + b^2 + ab \right)\]\[\   \left( x + y \right)^3  -  \left( x - y \right)^3 \] \[ = \left\{ \left( x + y \right) - \left( x - y \right) \right\}\left\{ \left( x + y \right)^2 + \left( x - y \right)^2 + \left( x + y \right)\left( x - y \right) \right\}\] \[ = 2y\left( x^2 + y^2 + 2xy + x^2 + y^2 - 2xy + x^2 - y^2 \right)\] 

\[ = 2y\left( 3 x^2 + y^2 \right)\]

  Is there an error in this question or solution?
Advertisement Remove all ads

APPEARS IN

Balbharati Mathematics 8th Standard Maharashtra State Board
Chapter 6 Factorisation of Algebraic expressions
Practice Set 6.3 | Q 2.1 | Page 32
Advertisement Remove all ads
Advertisement Remove all ads
Share
Notifications

View all notifications


      Forgot password?
View in app×