Question

simplify.
2(9 - 12)² - 3(2 - 4)²
2(9 - 12)² - 3(2 - 4)² = \square (simplify your answer. type an integer or a fraction.)

Explanation:

Step1: Calculate inside parentheses

First, simplify the expressions inside the parentheses: \(9 - 12 = -3\) and \(2 - 4 = -2\). So the expression becomes \(2(-3)^2 - 3(-2)^2\).

Step2: Evaluate exponents

Next, calculate the squares: \((-3)^2 = 9\) and \((-2)^2 = 4\). Now the expression is \(2\times9 - 3\times4\).

Step3: Perform multiplications

Multiply the numbers: \(2\times9 = 18\) and \(3\times4 = 12\). The expression is now \(18 - 12\).

Step4: Subtract the numbers

Finally, subtract: \(18 - 12 = 6\).

Answer:

\(6\)