Question - Solving a Complex Mathematical Expression Step-by-Step
Solution:
The image appears to be upside down; however, I can still read the content. It shows a mathematical problem which seems to be:\[ \frac{-9b^2 - 4 \times (12)(155)}{2 \times (12)} \]To solve this problem, follow these steps:1. Multiply $$4 \times 12 \times 155$$ to find the product in the numerator.2. Once you've found the product, you will subtract it from $$-9b^2$$ (still in the numerator).3. Lastly, divide the result by $$2 \times 12$$, which is the division in the denominator.Let's solve it step-by-step:1. Compute $$4 \times 12 \times 155$$\[ 4 \times 12 = 48 \]\[ 48 \times 155 = 7440 \]2. Subtract that product from $$-9b^2$$ to calculate the new numerator.\[ -9b^2 - 7440 \]3. Divide the new numerator by $$2 \times 12$$, which is 24.\[ \frac{-9b^2 - 7440}{24} \]To simplify further, you can separate the fraction:\[ \frac{-9b^2}{24} - \frac{7440}{24} \]The terms may simplify depending on whether there are common factors. For the constant term:\[ \frac{7440}{24} = 310 \]Leaving us with:\[ \frac{-9b^2}{24} - 310 \]The fraction $$\frac{-9b^2}{24}$$ can also be simplified by dividing both numerator and denominator by their greatest common divisor which is 3:\[ \frac{-9b^2}{24} = \frac{-3b^2}{8} \]So the simplified form of the expression would be:\[ \frac{-3b^2}{8} - 310 \]Please note that this expression may not simplify further without specific information about the variable $$b$$.
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