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Show that (4x + 5)2 – 80x = (4x – 5)2.

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Best answer

LHS

(4x + 5)2 – 80x

= [(4x)2 + 2(4x) (5) + (5)2] – 80x (Using identity II)

= (16x2 + 40x + 25) – 80x

= 16x2 + 40x – 80x + 25

= 16x2 – 40x + 25

= (4x)2 – 2(4x) (5) + (5)2

= (4x – 5)2 (Using identity II)

= RHS

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