Factorize each of the following expressions:
[7 (a – b)]2 – [5 (a + b)]2
= [7 (a – b) + 5 (a + b)] [7 (a – b) – 5 (a + b)]
= (7a – 7b + 5a + 5b) (7a – 7b – 5a – 5b)
= (12a – 2b) (2a – 12b)
= 2 (6a – b) 2 (a – 6b)
= 4 (6a – b) (a – 6b)
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Factorize each of the following expressions:
[7 (a – b)]2 – [5 (a + b)]2
= [7 (a – b) + 5 (a + b)] [7 (a – b) – 5 (a + b)]
= (7a – 7b + 5a + 5b) (7a – 7b – 5a – 5b)
= (12a – 2b) (2a – 12b)
= 2 (6a – b) 2 (a – 6b)
= 4 (6a – b) (a – 6b)