Verified answer

1) 36 - 16y² = 6² - (4y)² = (6 - 4y)(6 + 4y) = 2 * 2 * (3 - 2y)(3 + 2y) =

= 4(3 - 2y)(3 + 2y)

2) 4x² - 81y² = (2x)² - (9y)² = (2x - 9y)(2x + 9y)

3) 0,04t² - 169p² = (0,2t)² - (13p)² = (0,2t - 13p)(0,2t + 13p)

4) x⁶ - x¹⁰ = x⁶(1 - x⁴) = x⁶(1 - x²)(1 + x²)

5) 25a⁶b² - 1 = (5a³b)² - 1² = (5a³b - 1)(5a³b + 1)