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why can't a^2 + b^2 be factored? I seriously don't know how this works out and my text book is no help. Please help.

2 answers

the terms a and b are being added.
Since they are being added, and aren't the same variables, they cannot be factored.
The factors are (a + ib)(a - ib), where i is the square root of -1, an imaginary number.
The factors are not "real" numbers.
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