Solve 9x ^ 2 - 15 + 25/(4x ^ 2) | 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

$$9x^{2}-15+\frac{25}{4x^{2}}$$

Evaluate

$\frac{\left(6x-\frac{5}{x}\right)^{2}}{4}$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply $9x^{2}-15$ times $\frac{4x^{2}}{4x^{2}}$.

$$\frac{\left(9x^{2}-15\right)\times 4x^{2}}{4x^{2}}+\frac{25}{4x^{2}}$$

Since $\frac{\left(9x^{2}-15\right)\times 4x^{2}}{4x^{2}}$ and $\frac{25}{4x^{2}}$ have the same denominator, add them by adding their numerators.

$$\frac{\left(9x^{2}-15\right)\times 4x^{2}+25}{4x^{2}}$$

Do the multiplications in $\left(9x^{2}-15\right)\times 4x^{2}+25$.

$$\frac{36x^{4}-60x^{2}+25}{4x^{2}}$$

Factor

$\frac{\left(6x^{2}-5\right)^{2}}{4x^{2}}$