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Using factor theorem,show that a-b,b-c,c-a are the factors of a(b^2-c^2)+b(c^2-a^2)+c(a^2-b^2)
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Using factor theorem,show that a-b,b-c,c-a are the factors of a(b^2-...
a(b^2-c^2)+b(c^2-a^2)+c(a^2-b^2)

=ab^2-ac^2+bc^2-ba^2+ca^2-cb^2

=ab^2-ac^2+bc^2-ba^2+ca^2-cb^2+abc-abc

=abc-ba^2-ac^2+ca^2-cb^2+ab^2+bc^2-abc

=ab(c-a)-ac(c-a)-b^2(c-a)+bc(c-a)

=(ab-ac-b^2+bc)(c-a)

={a(b-c)-b(b-c)}(c-a)

=(a-b)(b-c)(c-a)
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Using factor theorem,show that a-b,b-c,c-a are the factors of a(b^2-c^2)+b(c^2-a^2)+c(a^2-b^2)
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Using factor theorem,show that a-b,b-c,c-a are the factors of a(b^2-c^2)+b(c^2-a^2)+c(a^2-b^2) for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about Using factor theorem,show that a-b,b-c,c-a are the factors of a(b^2-c^2)+b(c^2-a^2)+c(a^2-b^2) covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Using factor theorem,show that a-b,b-c,c-a are the factors of a(b^2-c^2)+b(c^2-a^2)+c(a^2-b^2).
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