exam Maths Puzzle Numerical Ability

Can someone please explain this to me?
Explain why a binomial which is the sum of two squares is non factorable over the integers.
Thank you so mush.

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exam Other Question

Find the measure of an angle whose supplement measures 39 degrees more than twice its complement. Factor completely: 12p2 + 20p
A)2(6p2 + 10)
B)4p(3p + 20)
C)4p(3p + 5)
D)6p(2p + 5)