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