In this factorization, formula used: a2 – b2 = (a + b) (a – b)
Explanation
49(3x + 2y – z)2 – 36(2x – 3y + 4z)2
\rightarrow\ {(7) (3x + 2y – z)}2 – {(6) (2x – 3y + 4z)}2
\rightarrow\ [{(7) (3x + 2y – z)} + {(6) (2x – 3y + 4z)} {(7) (3x + 2y – z)} – {(6) (2x – 3y + 4z)}]
\rightarrow\ {(21x + 14y – 7z) + (12x – 18y + 24z)} {(21x + 14y – 7z) – (12x – 18y + 24z)}
\rightarrow\ (21x + 14y – 7z + 12x – 18y + 24z) (21x + 14y – 7z – 12x + 18y – 24z)
\rightarrow\ (33x – 4y + 17z) (9x + 32y – 31z)
Ans: (33x – 4y + 17z) (9x + 32y – 31z)