1) -m^4 + 16 = 16 - m^4 =
= (4 - m²) (4 + m²) =
= (2 - m) (2 + m) (4 + m²)
2) 162p³ - 2pa² = 2p (81p² - a²) =
= 2p (9p - a) (9p + a)
3) (2a - 3b)² - (2a + 3b)² =
= (2a - 3b - 2a - 3b) (2a - 3b + 2a + 3b) =
= -6b•4a = -24ab
4) 49m^4 - 4x² + 12xy - 9y² =
= 49m^4 - (2x - 3y)² =
= (7m² - 2x + 3y) (7m² + 2x - 3y)
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Answers & Comments
1) -m^4 + 16 = 16 - m^4 =
= (4 - m²) (4 + m²) =
= (2 - m) (2 + m) (4 + m²)
2) 162p³ - 2pa² = 2p (81p² - a²) =
= 2p (9p - a) (9p + a)
3) (2a - 3b)² - (2a + 3b)² =
= (2a - 3b - 2a - 3b) (2a - 3b + 2a + 3b) =
= -6b•4a = -24ab
4) 49m^4 - 4x² + 12xy - 9y² =
= 49m^4 - (2x - 3y)² =
= (7m² - 2x + 3y) (7m² + 2x - 3y)