Solve [sqrt[3]{(-8-19)}*(-5+2)^2-3]+[4div2+3*(-3)-3^3]+sqrt{64}*(-4)+2

$$[ \sqrt[ 3 ] { ( - 8 - 19 ) } \times ( - 5 + 2 ) ^ { 2 } - 3 ] + [ 4 \div 2 + 3 \cdot ( - 3 ) - 3 ^ { 3 } ] + \sqrt { 64 } \cdot ( - 4 ) + 2$$

Evaluate

$$-94$$

Solution Steps

Subtract 19 from -8 to get -27.

$$\sqrt[3]{-27}\left(-5+2\right)^{2}-3+\frac{4}{2}+3\left(-3\right)-3^{3}+\sqrt{64}\left(-4\right)+2$$

Calculate \sqrt[3]{-27} and get -3.

$$-3\left(-5+2\right)^{2}-3+\frac{4}{2}+3\left(-3\right)-3^{3}+\sqrt{64}\left(-4\right)+2$$

Add -5 and 2 to get -3.

$$-3\left(-3\right)^{2}-3+\frac{4}{2}+3\left(-3\right)-3^{3}+\sqrt{64}\left(-4\right)+2$$

Calculate -3 to the power of 2 and get 9.

$$-3\times 9-3+\frac{4}{2}+3\left(-3\right)-3^{3}+\sqrt{64}\left(-4\right)+2$$

Multiply -3 and 9 to get -27.

$$-27-3+\frac{4}{2}+3\left(-3\right)-3^{3}+\sqrt{64}\left(-4\right)+2$$

Subtract 3 from -27 to get -30.

$$-30+\frac{4}{2}+3\left(-3\right)-3^{3}+\sqrt{64}\left(-4\right)+2$$

Divide 4 by 2 to get 2.

$$-30+2+3\left(-3\right)-3^{3}+\sqrt{64}\left(-4\right)+2$$

Multiply 3 and -3 to get -9.

$$-30+2-9-3^{3}+\sqrt{64}\left(-4\right)+2$$

Subtract 9 from 2 to get -7.

$$-30+-7-3^{3}+\sqrt{64}\left(-4\right)+2$$

Calculate 3 to the power of 3 and get 27.

$$-30-7-27+\sqrt{64}\left(-4\right)+2$$

Subtract 27 from -7 to get -34.

$$-30-34+\sqrt{64}\left(-4\right)+2$$

Subtract 34 from -30 to get -64.

$$-64+\sqrt{64}\left(-4\right)+2$$

Calculate the square root of 64 and get 8.

$$-64+8\left(-4\right)+2$$

Multiply 8 and -4 to get -32.

$$-64-32+2$$

Subtract 32 from -64 to get -96.

$$-96+2$$

Add -96 and 2 to get -94.

$$-94$$

Factor

$$-94$$