16x²+24xy+9y², Factorise it using appropriate identities.
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Solution :
Given expression is
16x² + 24xy + 9y²
= ( 4x )² + 2 * ( 4x ) * ( 3y ) + ( 3y )²
= ( 4x + 3y )²
[ By algebraic identity ,
a² + 2ab + b² = ( a + b )² ]
= ( 4x + 3y )( 4x + 3y )
••••
Given expression is
16x² + 24xy + 9y²
= ( 4x )² + 2 * ( 4x ) * ( 3y ) + ( 3y )²
= ( 4x + 3y )²
[ By algebraic identity ,
a² + 2ab + b² = ( a + b )² ]
= ( 4x + 3y )( 4x + 3y )
••••
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