Solve 5/(4x ^ 2) - 3/(5x ^ 3) | Equatix - Math Solver

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$\frac{5}{4x^{2}}-\frac{3}{5x^{3}}$$

Evaluate

$\frac{5}{4x^{2}}-\frac{3}{5x^{3}}$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of $4x^{2}$ and $5x^{3}$ is $20x^{3}$. Multiply $\frac{5}{4x^{2}}$ times $\frac{5x}{5x}$. Multiply $\frac{3}{5x^{3}}$ times $\frac{4}{4}$.

$$\frac{5\times 5x}{20x^{3}}-\frac{3\times 4}{20x^{3}}$$

Since $\frac{5\times 5x}{20x^{3}}$ and $\frac{3\times 4}{20x^{3}}$ have the same denominator, subtract them by subtracting their numerators.

$$\frac{5\times 5x-3\times 4}{20x^{3}}$$

Do the multiplications in $5\times 5x-3\times 4$.

$$\frac{25x-12}{20x^{3}}$$

Factor

$\frac{25x-12}{20x^{3}}$