Question
Factorise$ : 50a^3- 2a$
✓
Answer
$50a^3 - 2a$
$= 2a( 25a^2 - 1 )$
$= 2a[ (5a)^2 - (1)^2]$
$= 2a( 5a + 1 )( 5a - 1 ) [ \because a^2 - b^2 = ( a + b )( a - b )]$
$= 2a( 25a^2 - 1 )$
$= 2a[ (5a)^2 - (1)^2]$
$= 2a( 5a + 1 )( 5a - 1 ) [ \because a^2 - b^2 = ( a + b )( a - b )]$
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