Question

12ab-(2a+3b)² спростіть вираз

Answer 1

12ab - (2a+3b)² = 12ab - 4a² - 12ab - 9b² = -4a² - 9b²

Answer 2

To simplify the expression, let's start by expanding the squared term (2a + 3b)²:

(2a + 3b)² = (2a + 3b) * (2a + 3b) = 2a * (2a + 3b) + 3b * (2a + 3b) = 4a² + 6ab + 6ab + 9b² = 4a² + 12ab + 9b²

Now the expression becomes:

12ab - (2a + 3b)² = 12ab - (4a² + 12ab + 9b²)

Next, distribute the negative sign inside the parentheses:

12ab - (4a² + 12ab + 9b²) = 12ab - 4a² - 12ab - 9b²

Now, combine like terms:

(12ab - 12ab) - 4a² - 9b² = 0 - 4a² - 9b²

Finally, the simplified expression is:

0 - 4a² - 9b² = -4a² - 9b²

So, the simplified form of the expression is -4a² - 9b².