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Factorise. 2l3 + 432m3 - SSC (English Medium) Class 8 - Mathematics

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Question

Factorise.

2l+ 432m3

Solution

It is known that,

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

\[\ 2 l^3  + 432 m^3 \] 

\[ = 2\left[ l^3 + 216 m^3 \right]\] 

\[ = 2\left[ \left( l \right)^3 + \left( 6m \right)^3 \right]\] 

\[ = 2\left[ \left( l + 6m \right)\left\{ \left( l \right)^2 + \left( 6m \right)^2 - \left( l \right) \times \left( 6m \right) \right\} \right]\] 

\[ = 2\left( l + 6m \right)  \left( l^2 + 36 m^2 - 6lm \right)\]

  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 6.2 | Q: 4 | Page no. 31
Solution Factorise. 2l3 + 432m3 Concept: Factors of A3 + B3.
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