$2 - \frac{x ^{2}}{2} = \frac{- x ^{2} + 4}{2}$

Explanation

2 - \frac{x ^{2}}{2} \overset{◯}{1} \frac{- x ^{2} + 4}{2}

①

Subtract $\frac{x ^{2}}{2}$ from $2$ to get $\frac{- x ^{2} + 4}{2}$ .

Step 1: Write $2$ as a fraction by putting $1$ in the denominator.

Step 2: To subtract raitonal expressions, both fractions must have the same denominator.
We can create a common denominator by multiplying the first fraction by $2$ .

2 - \frac{x ^{2}}{2} Step 1 \frac{2}{1} - \frac{x ^{2}}{2} = \frac{2 \cdot 2}{1 \cdot 2} - \frac{x ^{2}}{2} = Step 2 \frac{4}{2} - \frac{x ^{2}}{2} = \frac{- x ^{2} + 4}{2}

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2−2x2​=2−x2+4​

$2 - \frac{x ^{2}}{2} = \frac{- x ^{2} + 4}{2}$