I need alot of help fast please!

this are new continuation of a work but i dont get it, please help me thanks!<3
1)4x^6+32y^3
2)2(a+b)^2-18
3)6x^2+36xy+54y^2
4)(x+2)^2-4
5)(y+3)^2+4(y+3)+4
6)45a^4-30a^3+5a^2
7)x^3+1/27
8)3x^3+2x^2-27x-18
9)a^3b-16ab^3
20)81-x^2-2xy-y^2

Hello,

You really should learn to do it by yourself...

4x⁶ + 32y³
  = 4(x⁶ - 8y³)
  = 4[(x²)³ - (2y)³]
  = 4(x² - 2y)(x⁴ + 2x²y + 4y²)

2(a + b)² - 18
  = 2[(a + b)² - 9]
  = 2(a + b - 3)(a + b + 3)

6x² + 36xy + 54y²
  = 6(x² + 6xy + 9y²)
  = 6(x + 3y)²

(x + 2)² - 4
  = (x + 2 - 2)(x + 2 + 2)
  = x(x + 4)

(y + 3)² + 4(y + 3) + 4
  = [(y + 3) + 2]²
  = (y + 5)²

45a⁴ - 30a³ + 5a²
  = 5a²(9a² - 6a + 1)
  = 5a²(3a - 1)²

x³ + (1/27)
  = x³ + (⅓)³
  = (x + ⅓)(x² + x/3 + 1/9)

3x³ + 2x² - 27x - 18
  = x²(3x + 2) - 9(3x + 2)
  = (3x + 2)(x² - 9)
  = (3x + 2)(x - 3)(x + 3)

a³b - 16ab³
  = ab(a² - 16b²)
  = ab(a - 4b)(a + 4b)

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

Reagrds,
Dragon.Jade :-)