Solve (8 * 2/x - 6x) - (3x ^ 2 + 12 ^ 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

$$(8\frac{2}{x}-6x)-(3x^{2}+12^{2})$$

Evaluate

$-3x^{2}-6x-144+\frac{16}{x}$

Short Solution Steps

Express $8\times \frac{2}{x}$ as a single fraction.

$$\frac{8\times 2}{x}-6x-\left(3x^{2}+12^{2}\right)$$

Calculate $12$ to the power of $2$ and get $144$.

$$\frac{8\times 2}{x}-6x-\left(3x^{2}+144\right)$$

To find the opposite of $3x^{2}+144$, find the opposite of each term.

$$\frac{8\times 2}{x}-6x-3x^{2}-144$$

To add or subtract expressions, expand them to make their denominators the same. Multiply $-6x-3x^{2}-144$ times $\frac{x}{x}$.

$$\frac{8\times 2}{x}+\frac{\left(-6x-3x^{2}-144\right)x}{x}$$

Since $\frac{8\times 2}{x}$ and $\frac{\left(-6x-3x^{2}-144\right)x}{x}$ have the same denominator, add them by adding their numerators.

$$\frac{8\times 2+\left(-6x-3x^{2}-144\right)x}{x}$$

Do the multiplications in $8\times 2+\left(-6x-3x^{2}-144\right)x$.

$$\frac{16-6x^{2}-3x^{3}-144x}{x}$$

Expand

$-3x^{2}-6x-144+\frac{16}{x}$

Short Solution Steps

Express $8\times \frac{2}{x}$ as a single fraction.

$$\frac{8\times 2}{x}-6x-\left(3x^{2}+12^{2}\right)$$

Calculate $12$ to the power of $2$ and get $144$.

$$\frac{8\times 2}{x}-6x-\left(3x^{2}+144\right)$$

To find the opposite of $3x^{2}+144$, find the opposite of each term.

$$\frac{8\times 2}{x}-6x-3x^{2}-144$$

To add or subtract expressions, expand them to make their denominators the same. Multiply $-6x-3x^{2}-144$ times $\frac{x}{x}$.

$$\frac{8\times 2}{x}+\frac{\left(-6x-3x^{2}-144\right)x}{x}$$

Since $\frac{8\times 2}{x}$ and $\frac{\left(-6x-3x^{2}-144\right)x}{x}$ have the same denominator, add them by adding their numerators.

$$\frac{8\times 2+\left(-6x-3x^{2}-144\right)x}{x}$$

Do the multiplications in $8\times 2+\left(-6x-3x^{2}-144\right)x$.

$$\frac{16-6x^{2}-3x^{3}-144x}{x}$$