Solve (6*7)^2-(3*3)^2/6*7-3*3

$$\frac { ( 6 \cdot 7 ) ^ { 2 } - ( 3 \cdot 3 ) ^ { 2 } } { 6 \cdot 7 - 3 \cdot 3 }$$

Evaluate

$$51$$

Solution Steps

Multiply 6 and 7 to get 42.

$$\frac{42^{2}-\left(3\times 3\right)^{2}}{6\times 7-3\times 3}$$

Calculate 42 to the power of 2 and get 1764.

$$\frac{1764-\left(3\times 3\right)^{2}}{6\times 7-3\times 3}$$

Multiply 3 and 3 to get 9.

$$\frac{1764-9^{2}}{6\times 7-3\times 3}$$

Calculate 9 to the power of 2 and get 81.

$$\frac{1764-81}{6\times 7-3\times 3}$$

Subtract 81 from 1764 to get 1683.

$$\frac{1683}{6\times 7-3\times 3}$$

Multiply 6 and 7 to get 42.

$$\frac{1683}{42-3\times 3}$$

Multiply 3 and 3 to get 9.

$$\frac{1683}{42-9}$$

Subtract 9 from 42 to get 33.

$$\frac{1683}{33}$$

Divide 1683 by 33 to get 51.

$$51$$

Factor

$$3\times 17$$