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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
9x^4 + 36
\rightarrow\ (3x^2)^2 + (6)^2
\rightarrow\ (3x^2 + 6)^2 – 2.3x^2.6
\rightarrow\ (3x^2 + 6)^2 – 36x^2
\rightarrow\ (3x^2 + 6)^2 – (6x)^2
\rightarrow\ (3x^2 + 6 + 6x) (3x^2 + 6 – 6x)
Ans: (3x^2 + 6x + 6) (3x^2 – 6x + 6).
