Factorise : 9x² - 6x+1
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Question :-
Factorise :
- 9x² - 6x + 1
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Method 1 : Middle Term Splitting
9x² - 6x + 1
= 9x² - 3x - 3x + 1
= 3x( 3x - 1 ) - 1( 3x - 1 )
[taking 3x and -1 as common respectively]
= ( 3x - 1 )( 3x - 1 )
[taking ( 3x - 1 ) as common]
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Method 2 : Taking whole square
9x² - 6x + 1
= ( 3x )² - 2 ( 3x )( 1 ) + ( 1 )²
= ( 3x - 1 )²
[using the formula]
= ( 3x - 1 )( 3x - 1 )
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Fᴏʀᴍᴜʟᴀ Usᴇᴅ -
( a + b )² = a² + 2ab + b²
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