Solve (16/9-8m^2-8/3)*2

$$( \frac { 16 } { 9 } - \frac { 8 m ^ { 2 } - 8 } { 3 } ) \times 2$$

Evaluate

$$-\frac{16m^{2}}{3}+\frac{80}{9}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 9 and 3 is 9. Multiply \frac{8m^{2}-8}{3} times \frac{3}{3}.

$$\left(\frac{16}{9}-\frac{3\left(8m^{2}-8\right)}{9}\right)\times 2$$

Since \frac{16}{9} and \frac{3\left(8m^{2}-8\right)}{9} have the same denominator, subtract them by subtracting their numerators.

$$\frac{16-3\left(8m^{2}-8\right)}{9}\times 2$$

Do the multiplications in 16-3\left(8m^{2}-8\right).

$$\frac{16-24m^{2}+24}{9}\times 2$$

Combine like terms in 16-24m^{2}+24.

$$\frac{40-24m^{2}}{9}\times 2$$

Express \frac{40-24m^{2}}{9}\times 2 as a single fraction.

$$\frac{\left(40-24m^{2}\right)\times 2}{9}$$

Use the distributive property to multiply 40-24m^{2} by 2.

$$\frac{80-48m^{2}}{9}$$

Expand

$$-\frac{16m^{2}}{3}+\frac{80}{9}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 9 and 3 is 9. Multiply \frac{8m^{2}-8}{3} times \frac{3}{3}.

$$\left(\frac{16}{9}-\frac{3\left(8m^{2}-8\right)}{9}\right)\times 2$$

Since \frac{16}{9} and \frac{3\left(8m^{2}-8\right)}{9} have the same denominator, subtract them by subtracting their numerators.

$$\frac{16-3\left(8m^{2}-8\right)}{9}\times 2$$

Do the multiplications in 16-3\left(8m^{2}-8\right).

$$\frac{16-24m^{2}+24}{9}\times 2$$

Combine like terms in 16-24m^{2}+24.

$$\frac{40-24m^{2}}{9}\times 2$$

Express \frac{40-24m^{2}}{9}\times 2 as a single fraction.

$$\frac{\left(40-24m^{2}\right)\times 2}{9}$$

Use the distributive property to multiply 40-24m^{2} by 2.

$$\frac{80-48m^{2}}{9}$$