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Show that (3x – 2y)2 + 24xy = (3x + 2y)2. |
Answer» LHS (3x – 2y)2 + 24xy = [(3x)2 – 2(3x) (2y) + (2y)2] + 24xy = (9x2 – 12xy + 4y2) + 24xy = 9x2 – 12xy + 24xy + 4y2 = 9x2 + 12xy + 4y2 = (3x)2 + 2 (3x) (2y) + (2y)2 = (3x + 2y)2 (Using identity I) = RHS |
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