(a-b)²-(b-c)² factorise using suitable identities
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(a-b)^2-(b-c)^2
=a^2+b^2-2ab-(b^2+c^2-2bc)
=a^2+b^2- 2ab-b^2-c^2+2bc
=a^2-c^2-2ab-2bc
a^2-c^2-2b(a-c)
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