(a-b-c)-bc factorise
Answers
Answer:
(a-b-c)-bc
=>a-b-c-bc
Step-by-step explanation:
How do you factorize 1+a+b+c+ab+bc+CA+abc?
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1 + a + b + c + ab + bc + ca + abc
Just rejig things
= 1 + a + b + ab + c + ca + bc + abc
= 1*(1 + a) + b*(1 + a) + c*(1 + a) + bc*(1 + a)
= (1 + a) * (1 + b + c + bc)
= (1 + a) * {1*(1 + b) + c*(1 + b)}
= (1 + a) * (1 + b) * (1 + c).
Can you factorize this: {1+a+b+c+ab+bc+CA+abc}?
What are the factors of:1+a+b+c+ab+bc+ca+abc?
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1+a+b+c+ab+bc+ca+abc
a+ab+ac+abc+bc+b+c+1
a(1+b+c+bc)+bc+b+c+1
(1+b+c+bc)(a+1)
(1+ c + b(1+c))(a +1)
(1+c) (1+b) (1+a)
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1+a+b+c+ab+bc+ca+abc
=a+ab+ac+abc + b+c+bc+1
= a + a(b+c+bc) +(b+c+bc) +1
= a(b+c+bc+1) + (b+c+bc+1)
= (a+1)(b+c+bc). Answer.
1+a+b+c+ab+bc+ca+abc=(1+a)+(b+ab)+(c+ca)+(bc+abc)
=(1+a)+b(1+a)+c(1+a)+bc(1+a)
=(1+a)(1+b+c+bc)
=(1+a)([(1+b)+c(1+b)]
=(1+a)(1+b)(1+c)