Question

9x2+6xy+y2 please help me

Answer 1

Method 1 : —

→ 9x² + 6xy + y²

→ ( 3x )² + 2( 3x × y ) + ( y )²


By using, a² + 2ab + b² = ( a + b )²


→ ( 3x + y )²

→ ( 3x + y )( 3x + y )



Method 2 —


9x² + 6xy + y²

9x² + 3xy + 3xy + y²

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

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




Therefore, 9x² + 6xy + y² = ( 3x + y )( 3x + y )

$\:$

Answer 2

HEY MATE HERE IS YOUR ANSWER

$= > {9x}^{2} + 6xy + {y}^{2}$
We use Factorisation in this question

By splitting method

$= > {9x}^{2} + 3xy + 3xy + {y}^{2}$
Now making factors

$= > \: \: 3x (3x + y) + y(3x + y) \\ \\ = > \: \: (3x + y)(3x + y)$
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Hope it will help you