25-(ab-3x)², Factorize the given equation.
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(5)^2-(ab-3x)^2
(5+ab-3x)(5-ab+3x)
(5+ab-3x)(5-ab+3x)
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Solution :
***************************************
We know the algebraic identity :
p² - q² = ( p + q )( p - q )
***************************************
Here ,
25 - ( ab - 3x )²
= 5² - ( ab - 3x )²
= ( 5 + ab - 3x )[ 5 - ( ab - 3x )]
= ( 5 + ab - 3x )( 5 - ab + 3x )
••••••
***************************************
We know the algebraic identity :
p² - q² = ( p + q )( p - q )
***************************************
Here ,
25 - ( ab - 3x )²
= 5² - ( ab - 3x )²
= ( 5 + ab - 3x )[ 5 - ( ab - 3x )]
= ( 5 + ab - 3x )( 5 - ab + 3x )
••••••
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