Factorize : 4x² + y² + z² -4xy -2yz +4xz.
Answers
Answered by
52
Heya !!
We have :
4X² + Y² + Z² - 4XY - 2YZ + 4XZ.
=> ( 2X)² + (-Y)² + (Z)² + 2 × (2X ) ( -Y ) + 2 ( -Y ) (Z ) + 2(2X ) ( Z ).
=> [ 2X + (-Y ) + Z ]²
=> (2X - Y + Z )² . [ Answer ]
We have :
4X² + Y² + Z² - 4XY - 2YZ + 4XZ.
=> ( 2X)² + (-Y)² + (Z)² + 2 × (2X ) ( -Y ) + 2 ( -Y ) (Z ) + 2(2X ) ( Z ).
=> [ 2X + (-Y ) + Z ]²
=> (2X - Y + Z )² . [ Answer ]
Answered by
25
Hey user !!
So here's u r answer !!
____________________________________________✨
↪( 2 x )^2 + (- y ) ^2 + ( z )^2 + 2 ( 2x ) ( - y ) - 2 ( - y ) ( - z ) + 2 ( 2 x ) ( z )
↪[ 2 x + ( - y ) + z ] ^2
↪[ 2 x - y + z ] ^2
______________________________________________✨
So here's u r answer !!
____________________________________________✨
↪( 2 x )^2 + (- y ) ^2 + ( z )^2 + 2 ( 2x ) ( - y ) - 2 ( - y ) ( - z ) + 2 ( 2 x ) ( z )
↪[ 2 x + ( - y ) + z ] ^2
↪[ 2 x - y + z ] ^2
______________________________________________✨
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