Solve 3x-4y^4/6-2x(-4)/4=

$$\frac { 3 x - 4 y ^ { 4 } } { 6 } - \frac { 2 x ( - 4 ) } { 4 } =$$

Evaluate

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

Short Solution Steps

Cancel out 4 and 4.

$$\frac{3x-4y^{4}}{6}-2x\left(-1\right)$$

Multiply 2 and -1 to get -2.

$$\frac{3x-4y^{4}}{6}-\left(-2x\right)$$

The opposite of -2x is 2x.

$$\frac{3x-4y^{4}}{6}+2x$$

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

$$\frac{3x-4y^{4}}{6}+\frac{6\times 2x}{6}$$

Since \frac{3x-4y^{4}}{6} and \frac{6\times 2x}{6} have the same denominator, add them by adding their numerators.

$$\frac{3x-4y^{4}+6\times 2x}{6}$$

Do the multiplications in 3x-4y^{4}+6\times 2x.

$$\frac{3x-4y^{4}+12x}{6}$$

Combine like terms in 3x-4y^{4}+12x.

$$\frac{15x-4y^{4}}{6}$$

Expand

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

Short Solution Steps

Cancel out 4 and 4.

$$\frac{3x-4y^{4}}{6}-2x\left(-1\right)$$

Multiply 2 and -1 to get -2.

$$\frac{3x-4y^{4}}{6}-\left(-2x\right)$$

The opposite of -2x is 2x.

$$\frac{3x-4y^{4}}{6}+2x$$

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

$$\frac{3x-4y^{4}}{6}+\frac{6\times 2x}{6}$$

Since \frac{3x-4y^{4}}{6} and \frac{6\times 2x}{6} have the same denominator, add them by adding their numerators.

$$\frac{3x-4y^{4}+6\times 2x}{6}$$

Do the multiplications in 3x-4y^{4}+6\times 2x.

$$\frac{3x-4y^{4}+12x}{6}$$

Combine like terms in 3x-4y^{4}+12x.

$$\frac{15x-4y^{4}}{6}$$