factorise:- 1+a+b+c+ab+bc+ca+abc
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➡ 1+a+b+c+ab+bc+ca+abc
Step 1 - We have to rearrange them.
Step 2 - Now we had rearranged them and from that we get ,
1+c+a+ca+b+bc+ab+abc
= 1 ( 1+c ) + a ( 1+c )+b ( 1+c ) + ab ( 1+c )
= ( 1+c ) ( 1+a+b+ab )
= ( 1+c ) [ 1 ( 1+a )+ b ( 1+a ) ]
= ( 1+c ) [ ( 1+a ) ( 1+b ) ]
= ( 1+a ) ( 1+b ) ( 1+c )
-------------;)--------------------;)------------------
-------------;)--------------------;)------------------
HOPE IT HELPS YOU.
-------------;)-----------------;)--------------------
-------------;)-----------------;)--------------------
➡ 1+a+b+c+ab+bc+ca+abc
Step 1 - We have to rearrange them.
Step 2 - Now we had rearranged them and from that we get ,
1+c+a+ca+b+bc+ab+abc
= 1 ( 1+c ) + a ( 1+c )+b ( 1+c ) + ab ( 1+c )
= ( 1+c ) ( 1+a+b+ab )
= ( 1+c ) [ 1 ( 1+a )+ b ( 1+a ) ]
= ( 1+c ) [ ( 1+a ) ( 1+b ) ]
= ( 1+a ) ( 1+b ) ( 1+c )
-------------;)--------------------;)------------------
-------------;)--------------------;)------------------
HOPE IT HELPS YOU.
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