Solved on Jan 22, 2024

Find the largest value of the expressions 2f2f, f+2f+2, f2\frac{f}{2}, and f2f-2 when f=8f=8.

STEP 1

Assumptions
1. The value of f f is given as 8.
2. We need to calculate the value of each expression with this given value of f f .
3. We need to determine the largest value among the calculated values.

STEP 2

Calculate the value of the first expression 2f 2f .
2f=2×82f = 2 \times 8

STEP 3

Compute the result of the first expression.
2f=2×8=162f = 2 \times 8 = 16

STEP 4

Calculate the value of the second expression f+2 f+2 .
f+2=8+2f+2 = 8 + 2

STEP 5

Compute the result of the second expression.
f+2=8+2=10f+2 = 8 + 2 = 10

STEP 6

Calculate the value of the third expression f2 \frac{f}{2} .
f2=82\frac{f}{2} = \frac{8}{2}

STEP 7

Compute the result of the third expression.
f2=82=4\frac{f}{2} = \frac{8}{2} = 4

STEP 8

Calculate the value of the fourth expression f2 f-2 .
f2=82f-2 = 8 - 2

STEP 9

Compute the result of the fourth expression.
f2=82=6f-2 = 8 - 2 = 6

STEP 10

Now that we have all the values, we need to determine the largest one. The values we have are 16, 10, 4, and 6.

STEP 11

Compare the values to find the largest one.
The largest value is 16 16 from the expression 2f 2f .
The largest value we get is 16.

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