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In this factorization, formula used:
a^2 + b^2 = (a + b)^2 - 2.a.b
a^2 - b^2 = (a +b) (a - b)
explanation
a^4 + 4
\rightarrow\ (a^2)^2 + (2)^2
\rightarrow\ (a^2 + 2)^2 – 2a^2.2
\rightarrow\ (a^2 + 2)^2 – 4a^2
\rightarrow\ (a^2 + 2)^2 – (2a)^2
\rightarrow\ (a^2 + 2 + 2a) (a^2 + 2 – 2a)
Ans: (a^2 + 2 + 2a) (a^2 + 2 – 2a).
