Question

Factorisation; 4x^2+12xy+9y^2

Answer 1

Answer :-

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To factorise of : 4x² + 12xy + 9y²

Salutation :-

4x² + 12xy + 9y²

= ( 2x )² + 2 × 2x × 3y + ( 3y )²

= ( 2x + 3y )² [ • Using identity ]

= ( 2x + 3y ) ( 2x + 3y ) [ • Required answer ]

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Verification :-

( 2x + 3y ) ( 2x + 3y )

= 2x ( 2x + 3y ) + 3y ( 2x + 3y )

= 4x² + 6xy + 6xy + 9y²

= 4x² + 12xy + 9y² [ • Proved ]

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Used identity :-

( a + b )² = a² + 2ab + b²

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Answer 2

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