Solve ln(x) - (x^2/2) - (x^2 / 4)

Evaluate

ln (x) - \frac{x ^{2}}{2} - \frac{x ^{2}}{4}

Reduce fractions to a common denominator

\frac{ln ( x ) \times 2 \times 2}{2 \times 2} - \frac{x ^{2} \times 2}{2 \times 2} - \frac{x ^{2}}{4}

Multiply the numbers

\frac{ln ( x ) \times 2 \times 2}{4} - \frac{x ^{2} \times 2}{2 \times 2} - \frac{x ^{2}}{4}

Multiply the numbers

\frac{ln ( x ) \times 2 \times 2}{4} - \frac{x ^{2} \times 2}{4} - \frac{x ^{2}}{4}

Write all numerators above the common denominator

\frac{ln ( x ) \times 2 \times 2 - x ^{2} \times 2 - x ^{2}}{4}

Multiply the terms

More Steps

\frac{4 ln ( x ) - x ^{2} \times 2 - x ^{2}}{4}

Use the commutative property to reorder the terms

\frac{4 ln ( x ) - 2 x ^{2} - x ^{2}}{4}

Solution

More Steps

\frac{4 ln ( x ) - 3 x ^{2}}{4}

Simplify the expression