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Factorise: (b^2-c^2)+b(c^2-a^2)+c(a^2-b^2) |
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Answer» a(b2+c2)+B(c2+A2)+C(a2+b2)+2abc =ab2+ac2+bc2+ba2+ca2+cb2+2abc =ba2+ca2+ab2+ac2+2abc+bc2+cb2 =a2(b+c)+a(b2+c2+2bc)+BC(c+b) =a2(b+c)+(b+c)2+bc(b+c) =(b+c)[(a2+a(b+c)+bc] =(b+c)[a2+ab+ac+ |
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