If \[\mathbf{x+y+z=6}\], then the value of \[{{\left( \mathbf{x-1} \right)}^{\mathbf{3}}}\mathbf{+}{{\left( \mathbf{y-2} \right)}^{\mathbf{3}}}\mathbf{+}{{\left( \mathbf{z-3} \right)}^{\mathbf{3}}}\] is

\[3\left( x-1 \right)\left( y+2 \right)\left( z-3 \right)\]

\[3\left( x+1 \right)\left( y-2 \right)\left( z-3 \right)\]

\[3\left( x-1 \right)\left( y-2 \right)\left( z+3 \right)\]

\[3\left( x-1 \right)\left( y-2 \right)\left( z-3 \right)\]

If \[\mathbf{x+y+z=6}\], then the value of \[{{\left( \mathbf{x-1} \ri

1.	If \[\mathbf{x+y+z=6}\], then the value of \[{{\left( \mathbf{x-1} \right)}^{\mathbf{3}}}\mathbf{+}{{\left( \mathbf{y-2} \right)}^{\mathbf{3}}}\mathbf{+}{{\left( \mathbf{z-3} \right)}^{\mathbf{3}}}\] is
A.	\[3\left( x-1 \right)\left( y+2 \right)\left( z-3 \right)\]
B.	\[3\left( x+1 \right)\left( y-2 \right)\left( z-3 \right)\]
C.	\[3\left( x-1 \right)\left( y-2 \right)\left( z+3 \right)\]
D.	\[3\left( x-1 \right)\left( y-2 \right)\left( z-3 \right)\]
Answer» E.

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If \[\mathbf{x+y+z=6}\], then the value of \[{{\left( \mathbf{x-1} \right)}^{\mathbf{3}}}\mathbf{+}{{\left( \mathbf{y-2} \right)}^{\mathbf{3}}}\mathbf{+}{{\left( \mathbf{z-3} \right)}^{\mathbf{3}}}\] is

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