Solve 36^2-8^2/21^2+2*21*15+15^2=

$$\frac { 36 ^ { 2 } - 8 ^ { 2 } } { 21 ^ { 2 } + 2 \cdot 21 \cdot 15 + 15 ^ { 2 } } =$$

Evaluate

$$\frac{77}{81}\approx 0.950617284$$

Solution Steps

Calculate 36 to the power of 2 and get 1296.

$$\frac{1296-8^{2}}{21^{2}+2\times 21\times 15+15^{2}}$$

Calculate 8 to the power of 2 and get 64.

$$\frac{1296-64}{21^{2}+2\times 21\times 15+15^{2}}$$

Subtract 64 from 1296 to get 1232.

$$\frac{1232}{21^{2}+2\times 21\times 15+15^{2}}$$

Calculate 21 to the power of 2 and get 441.

$$\frac{1232}{441+2\times 21\times 15+15^{2}}$$

Multiply 2 and 21 to get 42.

$$\frac{1232}{441+42\times 15+15^{2}}$$

Multiply 42 and 15 to get 630.

$$\frac{1232}{441+630+15^{2}}$$

Add 441 and 630 to get 1071.

$$\frac{1232}{1071+15^{2}}$$

Calculate 15 to the power of 2 and get 225.

$$\frac{1232}{1071+225}$$

Add 1071 and 225 to get 1296.

$$\frac{1232}{1296}$$

Reduce the fraction \frac{1232}{1296} to lowest terms by extracting and canceling out 16.

$$\frac{77}{81}$$

Factor

$$\frac{7 \cdot 11}{3 ^ {4}} = 0.9506172839506173$$