Разложение на множители

1. a) $$5xy^2 - 5xb^2 = 5x(y^2 - b^2) = 5x(y-b)(y+b)$$.

2. б) $$16x^2 - 24x + 9 = (4x)^2 - 2 \cdot 4x \cdot 3 + 3^2 = (4x - 3)^2$$.

3. в) $$4xy - 4x - 1 + y = 4x(y-1) + (y-1) = (4x+1)(y-1)$$.

4. г) $$x^3 - \frac{1}{27} = x^3 - (\frac{1}{3})^3 = (x - \frac{1}{3})(x^2 + \frac{1}{3}x + \frac{1}{9})$$.