Question

1. evaluate the expressio a = 5, b = 8, and c = 3 \\(\frac{2(a^2) - 2c}{b}\\)

Explanation:

Step1: Substitute given values

Substitute $a=5$, $b=8$, $c=3$ into the expression:
$$\frac{2(5^2)-2(3)}{8}$$

Step2: Calculate exponent first

Compute $5^2$:
$$\frac{2(25)-2(3)}{8}$$

Step3: Perform multiplications

Calculate $2\times25$ and $2\times3$:
$$\frac{50-6}{8}$$

Step4: Subtract in numerator

Compute $50-6$:
$$\frac{44}{8}$$

Step5: Simplify the fraction

Reduce the fraction to lowest terms:
$$\frac{11}{2} \text{ or } 5.5$$

Answer:

$\frac{11}{2}$ (or $5.5$)