23. Factorise bcb - c) + caſc - a) ...
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23. Factorise bcb - c) + caſc - a) + ab(a - b).

JEE/Engineering Exams
Maths
Solution
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( b^{2} c-b c^{2}+c^{2} a-c a^{2}+a b(a-b)=cleft(b^{2}-a^{2}right)+c^{2}(a-b)+a b(a-b) ) ( left.=(a-b)left[-c(b+a)+c^{2}+a bright)right] ) ( =(a-b)left(c^{2}+a b-b c-c aright) ) ( (a-b)(b(a-c)+c(c-a)) ) ( (a-b)(c-b)(c-a) )
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