II. Разность квадратов. a² – b² = (a – b)(a + b) 3. Разложите на множители. 1) b2-d2 2) y² - x2 3) a² - 16 4) b² - 25 5) с² - 100 6) d² - 324 7) 4m² - 121 8) 196 - 121n² 9) 25a216x2 10) 169k228912 11) 62502 – 36c2 12) 484a249c2 13) 9n214462 14) 256d264z2 15) 225x2900y2 16) a²-b² 17) 49c2y-16d4 18) 100e81f4g2 19) 144m664n4 20) 1024x8 - 256y8

b² - d² = (b - d)(b + d)

y² - x² = (y - x)(y + x)

a² - 16 = a² - 4² = (a - 4)(a + 4)

b² - 25 = b² - 5² = (b - 5)(b + 5)

c² - 100 = c² - 10² = (c - 10)(c + 10)

d² - 324 = d² - 18² = (d - 18)(d + 18)

4m² - 121 = (2m)² - 11² = (2m - 11)(2m + 11)

196 - 121n² = 14² - (11n)² = (14 - 11n)(14 + 11n)

25a² - 16x² = (5a)² - (4x)² = (5a - 4x)(5a + 4x)

169k² - 289l² = (13k)² - (17l)² = (13k - 17l)(13k + 17l)

625v² - 36c² = (25v)² - (6c)² = (25v - 6c)(25v + 6c)

484a² - 49c² = (22a)² - (7c)² = (22a - 7c)(22a + 7c)

9n² - 144b² = (3n)² - (12b)² = (3n - 12b)(3n + 12b)

256d² - 64z² = (16d)² - (8z)² = (16d - 8z)(16d + 8z)

225x² - 900y² = (15x)² - (30y)² = (15x - 30y)(15x + 30y)

a⁴ - b² = (a²)² - b² = (a² - b)(a² + b)

49c²y - 16d⁴ = (7c√y)² - (4d²)² = (7c√y - 4d²)(7c√y + 4d²)

100e⁸ - 81f⁴g² = (10e⁴)² - (9f²g)² = (10e⁴ - 9f²g)(10e⁴ + 9f²g)

144m⁶ - 64n⁴ = (12m³)² - (8n²)² = (12m³ - 8n²)(12m³ + 8n²)

1024x⁸ - 256y⁸ = (32x⁴)² - (16y⁴)² = (32x⁴ - 16y⁴)(32x⁴ + 16y⁴)