[tex]\\a) \\(x+y)^2-4^2=(x+y+4)(x+y-4) \\b) \\8x^2-24x+18=2(4x^2-12x+9)=2(2x-3)^2 \\c) \\1-64a^3=(1-4a)(1+4a+16a^2)[/tex]
a) x² + 2xy + y² - 16 = (x + y)² - 4² = (x + y - 4)(x + y + 4)
b) 8x² - 24x + 18 = 2(4x² - 12x + 9) = 2(2x - 3)² = 2(2x - 3)(2x - 3)
c) -64a³ + 1= 1 - 64a³ = 1³ - (4a)³ = (1 - 4a)(1 + 4a + 16a²)
