Math, asked by karskyoskim, 9 months ago

Factorize: 9x²+16y²+4z²+24xy+16yz+12xz​

Answers

Answered by Chiranjoy
14

Answer:

( 3x + 4y + 2z )²

Step-by-step explanation:

9x² + 16y² + 4z² + 24xy + 16yz + 12xz

(3x )² + ( 4y )² + ( 2z )² + 2[ ( 3x )( 4y ) + ( 4y )( 2z ) + ( 2z )( 3x ) ]

= ( 3x + 4y + 2z )²

Hope it helps...

Answered by Anonymous
5

9x² + 16y² + 4z² - 24xy + 16yz - 12xz

( - 3x )² + ( 4y )² + ( 2z )² + 2[ ( - 3x )( 4y ) + ( 4y )( 2z ) + ( 2z )( - 3x ) ]

= ( - 3x + 4y + 2z )²

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