SSC (English Medium) Class 8Maharashtra State Board
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Factorise. 1 + Q 3 125 - SSC (English Medium) Class 8 - Mathematics

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Question

Factorise.

`1 + q^3/125`

Solution

It is known that,

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

\[\  1 + \frac{q^3}{125}\] 

\[ =  \left( 1 \right)^3  +  \left( \frac{q}{5} \right)^3 \] 

\[ = \left( 1 + \frac{q}{5} \right)\left\{ \left( 1 \right)^2 + \left( \frac{q}{5} \right)^2 - \left( 1 \right) \times \left( \frac{q}{5} \right) \right\}\] 

\[ = \left( 1 + \frac{q}{5} \right)\left( 1 + \frac{q^2}{25} - \frac{q}{5} \right)\]

  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: 8 | Page no. 31
Solution Factorise. 1 + Q 3 125 Concept: Factors of A3 + B3.
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