Solve (2sqrt{3})^2-(9)^2

$$( 2 \sqrt { 3 } ) ^ { 2 } - ( 9 ) ^ { 2 }$$

Evaluate

$$-69$$

Solution Steps

Expand \left(2\sqrt{3}\right)^{2}.

$$2^{2}\left(\sqrt{3}\right)^{2}-9^{2}$$

Calculate 2 to the power of 2 and get 4.

$$4\left(\sqrt{3}\right)^{2}-9^{2}$$

The square of \sqrt{3} is 3.

$$4\times 3-9^{2}$$

Multiply 4 and 3 to get 12.

$$12-9^{2}$$

Calculate 9 to the power of 2 and get 81.

$$12-81$$

Subtract 81 from 12 to get -69.

$$-69$$

Factor

$$-69$$