Factorise 4a^2-(4b^2+4bc+c^2)
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4a^2 - (4b^2 +4bc +c^2)
=> (2a)^2 - [ (2b)^2 +2(2b)(c) + c^2]
=> (2a)^2 - ( 2b + c)^2 [ x^2 + y^2 + 2xy = (x+y)^2]
=> ( 2a + 2b + c) ( 2a - 2b - c) [ x^2 - y^2 = ( x +y) ( x - y)]
=> (2a)^2 - [ (2b)^2 +2(2b)(c) + c^2]
=> (2a)^2 - ( 2b + c)^2 [ x^2 + y^2 + 2xy = (x+y)^2]
=> ( 2a + 2b + c) ( 2a - 2b - c) [ x^2 - y^2 = ( x +y) ( x - y)]
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