a) $$3(1 + 2xy)(1 - 2xy) = 3(1 - (2xy)^2) = 3(1 - 4x^2y^2) = 3 - 12x^2y^2$$
б) $$(x^2 + y^3)^2 = (x^2)^2 + 2 \cdot x^2 \cdot y^3 + (y^3)^2 = x^4 + 2x^2y^3 + y^6$$
в) $$(a + b)^2 - (a - b)^2 = (a^2 + 2ab + b^2) - (a^2 - 2ab + b^2) = a^2 + 2ab + b^2 - a^2 + 2ab - b^2 = 4ab$$
**Ответы:**
a) **$$3 - 12x^2y^2$$**
б) **$$x^4 + 2x^2y^3 + y^6$$**
в) **$$4ab$$**