1) 2a(x³-8y³)= 2a(x-2y)(x²+2xy+4y²)
2) (y-5)²-3x(y-5)= (y-5)(y-5-3x)
3) (x+y)²+2(x+y)+1= (x+y+1)²= (x+y+1)(x+y+1)
1) 2ax³ - 16ay³ = 2a(x³ - 8y³) = 2a(x³ - (2y)³) = 2a(x - 2y)(x² + 2xy + 4y²)
2) y² - 10y + 25 - 3xy + 15x = (y² - 10y + 5²) - 3x(y - 5) = (y - 5)² - 3x(y - 5) = (y - 5)(y - 3x - 5)
3) x² + 2xy + y² + 2x + 2y + 1 = (x² + 2xy + y²) + (2x + 2y) + 1 = (x + y)² + 2(x + y) + 1 = (x + y + 1)²
