1) x² - 36y² - x - 6y = (x² - 36y²) - (x + 6y) =
= (x - 6y)·(x+6y) - (x + 6y) = (x+6y)·(x-6y-1);
2) 8b³ - 64 = (2b)³ - (4)³ = (2b-4)·(4b²+8b+16);
3) 64a² - 9x² - 6x - 1 = (8a)² - (9x² + 6x + 1) =
= (8a)² - (3x+1)² = (8a- (3x+1)) · (8a)+ (3x+1)) =
= (8a-3x-1)·(8a+3x+1)
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Answers & Comments
1) x² - 36y² - x - 6y = (x² - 36y²) - (x + 6y) =
= (x - 6y)·(x+6y) - (x + 6y) = (x+6y)·(x-6y-1);
2) 8b³ - 64 = (2b)³ - (4)³ = (2b-4)·(4b²+8b+16);
3) 64a² - 9x² - 6x - 1 = (8a)² - (9x² + 6x + 1) =
= (8a)² - (3x+1)² = (8a- (3x+1)) · (8a)+ (3x+1)) =
= (8a-3x-1)·(8a+3x+1)