Solve ((3(0.7^2)(1.3))+(3(0.7)(1.3^2))-(1.3^3))-(4(0.7)(1.3))-(2(1.3^2))

$$((3( { 0.7 }^{ 2 } )(1.3))+(3(0.7)( { 1.3 }^{ 2 } ))-( { 1.3 }^{ 3 } ))-(4(0.7)(1.3))-(2( { 1.3 }^{ 2 } ))$$

Evaluate

$$-3.757$$

Solution Steps

Calculate 0.7 to the power of 2 and get 0.49.

$$3\times 0.49\times 1.3+3\times 0.7\times 1.3^{2}-1.3^{3}-4\times 0.7\times 1.3-2\times 1.3^{2}$$

Multiply 3 and 0.49 to get 1.47.

$$1.47\times 1.3+3\times 0.7\times 1.3^{2}-1.3^{3}-4\times 0.7\times 1.3-2\times 1.3^{2}$$

Multiply 1.47 and 1.3 to get 1.911.

$$1.911+3\times 0.7\times 1.3^{2}-1.3^{3}-4\times 0.7\times 1.3-2\times 1.3^{2}$$

Multiply 3 and 0.7 to get 2.1.

$$1.911+2.1\times 1.3^{2}-1.3^{3}-4\times 0.7\times 1.3-2\times 1.3^{2}$$

Calculate 1.3 to the power of 2 and get 1.69.

$$1.911+2.1\times 1.69-1.3^{3}-4\times 0.7\times 1.3-2\times 1.3^{2}$$

Multiply 2.1 and 1.69 to get 3.549.

$$1.911+3.549-1.3^{3}-4\times 0.7\times 1.3-2\times 1.3^{2}$$

Add 1.911 and 3.549 to get 5.46.

$$5.46-1.3^{3}-4\times 0.7\times 1.3-2\times 1.3^{2}$$

Calculate 1.3 to the power of 3 and get 2.197.

$$5.46-2.197-4\times 0.7\times 1.3-2\times 1.3^{2}$$

Subtract 2.197 from 5.46 to get 3.263.

$$3.263-4\times 0.7\times 1.3-2\times 1.3^{2}$$

Multiply 4 and 0.7 to get 2.8.

$$3.263-2.8\times 1.3-2\times 1.3^{2}$$

Multiply 2.8 and 1.3 to get 3.64.

$$3.263-3.64-2\times 1.3^{2}$$

Subtract 3.64 from 3.263 to get -0.377.

$$-0.377-2\times 1.3^{2}$$

Calculate 1.3 to the power of 2 and get 1.69.

$$-0.377-2\times 1.69$$

Multiply 2 and 1.69 to get 3.38.

$$-0.377-3.38$$

Subtract 3.38 from -0.377 to get -3.757.

$$-3.757$$

Factor

$$-3.757$$