Factorise: (a+b+c)(ab+bc+ca)-abc
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The answer is (a+b)(b+c)(c+a)
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Inspirit7778:
Oh, thank you!
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1+a+b+c+ab+bc+ca+abc
By rearranging
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) Answer
By rearranging
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) Answer
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