Factorise a(a+b) -2ab(a+b)
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ɑ/b+b/ɑ+b/c+c/b+c/ɑ+ɑ/c+3
=(ɑ^2+b^2) /ɑb+(b^2+c^2) /bc+(c^2+ɑ^2) /cɑ+3
=(cɑ^2+cb^2+ɑb^2+ɑc^2+bc^2+bɑ^2+3ɑbc) /ɑbc
={ɑ^2(c+b+ɑ-ɑ) +b^2(c+ɑ+b-b) +c^2(ɑ+b+c-c) +3ɑbc}/ɑbc
={(ɑ+b+c) (ɑ^2+b^2+c^2) -(ɑ^3+b^3+c^3–3ɑbc) }/ɑbc
={(ɑ+b+c) (ɑ^2+b^2+c^2-ɑ^2-b^2-c^2+ɑb+bc+cɑ) })/ɑbc
={(ɑ+b+c) (ɑb+bc+cɑ) }/ɑbc
=(ɑ+b+c) (1/c+1/ɑ+1/b)
=(ɑ+b+c) (1/ɑ+1/b+1/c)…… reɑd fɑctorisɑtion
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