Question

Factorize 1+a+b+c+ab+bc+ac+ abc

Answer 1

1 + a + b + c + ab + bc + ca + abc =?

Take a as common
= 1+a(1+b+c+bc)+b+c+bc ........ (i)

let x= b+c+bc

therefore (i) will become,
=1+a(1+x)+x = 1+x +a(1+x)

take (1+x) as common
= (1+x) (1+a) .............. (ii)

1+x = 1+b+c+bc ( WKT x=b+c+bc )

take b as common
1+x= 1+b(1+c)+c = 1+c+b(1+c)

take (1+c) as common
= (1+c)(1+b)

therefore , 1+x = (1+c)(1+b) ....... (iii)

sub (iii) in (ii)
1 + a + b + c + ab + bc + ca + abc = (1+a)(1+c)(1+b)

I hope this will be helpful...

Answer 2

Answer:

Step-by-step explanation:

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