Question

Evaluate the expression 2a(c-d) when a = -3, b = 2, c = 5, and d = -4, and provide the answer in the form of a simplified fraction.

Answer 1

After substituting the given values into the expression 2a(c-d), the calculation leads to a simplified result of -54.

Step-by-step explanation:

To evaluate the expression 2a(c-d) with given values a = -3, c = 5, and d = -4, we perform the following steps:

• First, calculate the value inside the parentheses: (c-d). Substituting c = 5 and d = -4, we get (5 - (-4)) which simplifies to 5 + 4 or simply 9.
• Next, we multiply this result by the value of a, which is -3. So, multiply -3 by 9 to get -27.
• Finally, we multiply by 2 (as per the expression 2a(c-d)) which gives us 2 * -27, equating to -54.

Therefore, the simplified value of the expression 2a(c-d) with the given values is -54.