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4a2+ 25 does not factor over the real number field. In the complex numbers , it

factors as (2a +5i)(2a - 5i).

This is because i2 = -1, so 4a2 + 25 = 4a2 - (- 25) = 4a2 - 25(-1) = 4a2 - 25i2

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14y ago

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