1) y² - 100 = y² - 10² = (y - 10)(y + 10)
2) - 0,16x² + y2 = y² - 0,16x² = y² - (0,4x)² = (y - 0,4x)(y + 0,4x)
3) a⁴ - 25 = (a² )² - 5² = (a² - 5)(a² + 5)
4) 2x² - 12x + 18 = 2(x² - 6x + 9) = 2(x - 3)² = 2(x - 3)(x - 3)
5) 16x + 8x² + x³ = x³ + 8x² + 16x = x(x² + 8x + 16) = x(x + 4)² =
= x(x + 4)(x + 4)
6) x³ - xy² - 6y² + 6x² = (x³ - xy²) - (6y² - 6x²) = x(x² - y²) - 6(x² - y²) = (x² - y²)(x - 6) =
= (x - y)(x + y)(x - 6)
7) 8x⁴y - xy⁴ = xy(8x³ - y³) = xy(2x - y)(4x² + 2xy + y²)