Question

Розкласти на множники​

Answer 1

1). 20a² - 5 = 5(4a² - 1) = 5(2a - 1)(2a + 1);

2). 625 - x⁴ = (5²)² - (x²)² = (5² - x²)(5² + x²) = (5 - x)(5 + x)(25 + x²);

3). 5x² - 10xy + 5y² = 5(x² - 2xy + y²) = 5(x - y)²;

4). x³ - yx - x² + yx² = x²(x + y) - x(x + y) = x(x - 1)(x + y);

5). a² - 2ab² + b² - 25 = (a - b)² - 5² = (a - b -5)(a - b + 5);