SSC (English Medium) Class 8Maharashtra State Board
Share
Notifications

View all notifications

Factorise: 343a3 − 512b3 - SSC (English Medium) Class 8 - Mathematics

Login
Create free account


      Forgot password?

Question

Factorise:

343a3 − 512b3

Solution

It is known that,

\[a^3  -  b^3    =   \left( a - b \right)\left( a^2 + b^2 + ab \right)\]

\[\  343 a^3  - 512 b^3 \] 

\[ =  \left( 7a \right)^3  -  \left( 8b \right)^3 \] 

\[ = \left( 7a - 8b \right)\left\{ \left( 7a \right)^2 + \left( 8b \right)^2 + \left( 7a \right) \times \left( 8b \right) \right\}\] 

\[ = \left( 7a - 8b \right)\left( 49 a^2 + 64 b^2 + 56ab \right)\]

  Is there an error in this question or solution?

APPEARS IN

 Balbharati Solution for Balbharati Class 8 Mathematics (2019 to Current)
Chapter 6: Factorisation of Algebraic expressions
Practice Set 6.3 | Q: 1.6 | Page no. 32
Solution Factorise: 343a3 − 512b3 Concept: Factors of A3 - B3.
S
View in app×