Question

Разложите на множители: x²-y² 4a²-b² 0.09a²-9b²

Answer 1

Х²-у² = (х-у)(х+у)
4а²-b² = (2a-b)(2a+b)
0,09a²-9b² = (0,3a-3b)(0,3a+3b)

Answer 2

1. x² - y²: This expression is a difference of squares, which can be factored as follows: x² - y² = (x + y)(x - y)

2. 4a² - b²: This expression is also a difference of squares: 4a² - b² = (2a + b)(2a - b)

3. 0.09a² - 9b²: First, let's factor out the common factor of 0.09, which is 0.09a²: 0.09a² - 9b² = 0.09(a² - 100b²)

   Now, we can further factor the expression inside the parentheses: a² - 100b² = (a + 10b)(a - 10b)

   Putting it all together, we have: 0.09a² - 9b² = 0.09(a + 10b)(a - 10b)