SSC (English Medium) Class 8Maharashtra State Board
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Factorise. a 3 + 8 a 3 - SSC (English Medium) Class 8 - Mathematics

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Question

Factorise.

`a^3 + 8/a^3`

Solution

It is known that,

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

\[\  a^3  + \frac{8}{a^3}\] 

\[ =  \left( a \right)^3  +  \left( \frac{2}{a} \right)^3 \] 

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

\[ = \left( a + \frac{2}{a} \right)  \left( a^2 + \frac{4}{a^2} - 2 \right)\]

  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: 7 | Page no. 31
Solution Factorise. a 3 + 8 a 3 Concept: Factors of A3 + B3.
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