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Explanation
In this factorization formula used:
(a + b)2 = (a2 + 2.a.b + b2) & (a – b)2 = (a2 – 2.a.b + b2)
4x2 – 4xy – 9y2 + y2 + 6yz – z2
\rightarrow\ {(4x2 – 4xy + y2)} – {(9y2 – 6yz + z2)}
\rightarrow\ {(2x)2 – 2.2x.y + (y)2} – {(3y)2 – 2.3y.z + (z)2}
\rightarrow\ (2x + y)2 – (3y – z)2
\rightarrow\ {(2x + y) + (3y – z)} {(2x + y) – (3y – z)}
\rightarrow\ (2x + y + 3y – z) (2x + y – 3y + z)
\rightarrow\ (2x + 4y – z) (2x – 2y + z)
Ans: (2x + 4y – z) (2x – 2y + z).
