Question

(a'+b'+c)(a+b'+c')(a'+b'+c')

Answer 1

Answer:

(a+b+c)(c+b−c)

Expand (a+b+c)(a+b−c) by multiplying

each term in first expression by each term in second expression

a

2

+ab−ac+ba+b

2

−bc+ca+cb−c

2

a

2

+ab+ba+b

2

−ac+ca+cb−bc−c

2

a

2

+2ab+b

2

−0+0−c

2

a

2

+2ab+b

2

−c

2

(a+b)

2

−c

2

Answer 2

Answer:

(a+b+c)(c+b−c)

Expand (a+b+c)(a+b−c) by multiplying

each term in first expression by each term in second expression

a

2

+ab−ac+ba+b

2

−bc+ca+cb−c

2

a

2

+ab+ba+b

2

−ac+ca+cb−bc−c

2

a

2

+2ab+b

2

−0+0−c

2

a

2

+2ab+b

2

−c

2

(a+b)

2

−c

2