Solve (-1/3-1)(-1/3+1)

$$( - \frac { 1 } { 3 } - 1 ) ( - \frac { 1 } { 3 } + 1 )$$

Evaluate

$$-\frac{8}{9}\approx -0.888888889$$

Solution Steps

Convert 1 to fraction \frac{3}{3}.

$$\left(-\frac{1}{3}-\frac{3}{3}\right)\left(-\frac{1}{3}+1\right)$$

Since -\frac{1}{3} and \frac{3}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-1-3}{3}\left(-\frac{1}{3}+1\right)$$

Subtract 3 from -1 to get -4.

$$-\frac{4}{3}\left(-\frac{1}{3}+1\right)$$

Convert 1 to fraction \frac{3}{3}.

$$-\frac{4}{3}\left(-\frac{1}{3}+\frac{3}{3}\right)$$

Since -\frac{1}{3} and \frac{3}{3} have the same denominator, add them by adding their numerators.

$$-\frac{4}{3}\times \frac{-1+3}{3}$$

Add -1 and 3 to get 2.

$$-\frac{4}{3}\times \frac{2}{3}$$

Multiply -\frac{4}{3} times \frac{2}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-4\times 2}{3\times 3}$$

Do the multiplications in the fraction \frac{-4\times 2}{3\times 3}.

$$\frac{-8}{9}$$

Fraction \frac{-8}{9} can be rewritten as -\frac{8}{9} by extracting the negative sign.

$$-\frac{8}{9}$$

Factor

$$-\frac{8}{9} = -0.8888888888888888$$