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प्रश्न
Express each of the following as the difference of two squares:
(x2 - 2x + 3)(x2 + 2x + 3)
उत्तर
(x2 - 2x + 3)(x2 + 2x + 3)
= [x2 + 3 - 2x][x2 + 3 + 2x]
= [(x2 + 3) - 2x][(x2 + 3) + 2x]
= (x2 + 3)2 - (2x)2
= (x2 + 3)2 - 4x2.
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