Solve 21left(-9^2-2right)/2left(-9^2-5right)3-9

$$\frac{ 21 \left( - { 9 }^{ 2 } -2 \right) }{ 2 \left( - { 9 }^{ 2 } -5 \right) } 3-9$$

Evaluate

$$\frac{3681}{172}\approx 21.401162791$$

Solution Steps

Calculate 9 to the power of 2 and get 81.

$$\frac{21\left(-81-2\right)}{2\left(-9^{2}-5\right)}\times 3-9$$

Subtract 2 from -81 to get -83.

$$\frac{21\left(-83\right)}{2\left(-9^{2}-5\right)}\times 3-9$$

Multiply 21 and -83 to get -1743.

$$\frac{-1743}{2\left(-9^{2}-5\right)}\times 3-9$$

Calculate 9 to the power of 2 and get 81.

$$\frac{-1743}{2\left(-81-5\right)}\times 3-9$$

Subtract 5 from -81 to get -86.

$$\frac{-1743}{2\left(-86\right)}\times 3-9$$

Multiply 2 and -86 to get -172.

$$\frac{-1743}{-172}\times 3-9$$

Fraction \frac{-1743}{-172} can be simplified to \frac{1743}{172} by removing the negative sign from both the numerator and the denominator.

$$\frac{1743}{172}\times 3-9$$

Express \frac{1743}{172}\times 3 as a single fraction.

$$\frac{1743\times 3}{172}-9$$

Multiply 1743 and 3 to get 5229.

$$\frac{5229}{172}-9$$

Convert 9 to fraction \frac{1548}{172}.

$$\frac{5229}{172}-\frac{1548}{172}$$

Since \frac{5229}{172} and \frac{1548}{172} have the same denominator, subtract them by subtracting their numerators.

$$\frac{5229-1548}{172}$$

Subtract 1548 from 5229 to get 3681.

$$\frac{3681}{172}$$

Factor

$$\frac{3 ^ {2} \cdot 409}{2 ^ {2} \cdot 43} = 21\frac{69}{172} = 21.401162790697676$$