Solve [15-(x^3-10div2)]*[5+(3*8-4)]-3+(8-2*3)

$$[ 15 - ( x ^ { 3 } - 10 \div 2 ) ] \cdot [ 5 + ( 3 \cdot 8 - 4 ) ] - 3 + ( 8 - 2 \cdot 3 )$$

Evaluate

$$499-25x^{3}$$

Solution Steps

Divide 10 by 2 to get 5.

$$\left(15-\left(x^{3}-5\right)\right)\left(5+3\times 8-4\right)-3+8-2\times 3$$

Multiply 3 and 8 to get 24.

$$\left(15-\left(x^{3}-5\right)\right)\left(5+24-4\right)-3+8-2\times 3$$

Add 5 and 24 to get 29.

$$\left(15-\left(x^{3}-5\right)\right)\left(29-4\right)-3+8-2\times 3$$

Subtract 4 from 29 to get 25.

$$\left(15-\left(x^{3}-5\right)\right)\times 25-3+8-2\times 3$$

Multiply 2 and 3 to get 6.

$$\left(15-\left(x^{3}-5\right)\right)\times 25-3+8-6$$

Subtract 6 from 8 to get 2.

$$\left(15-\left(x^{3}-5\right)\right)\times 25-3+2$$

Add -3 and 2 to get -1.

$$\left(15-\left(x^{3}-5\right)\right)\times 25-1$$

To find the opposite of x^{3}-5, find the opposite of each term.

$$\left(15-x^{3}+5\right)\times 25-1$$

Add 15 and 5 to get 20.

$$\left(20-x^{3}\right)\times 25-1$$

Use the distributive property to multiply 20-x^{3} by 25.

$$500-25x^{3}-1$$

Subtract 1 from 500 to get 499.

$$499-25x^{3}$$

Expand

$$499-25x^{3}$$

Solution Steps

Divide 10 by 2 to get 5.

$$\left(15-\left(x^{3}-5\right)\right)\left(5+3\times 8-4\right)-3+8-2\times 3$$

Multiply 3 and 8 to get 24.

$$\left(15-\left(x^{3}-5\right)\right)\left(5+24-4\right)-3+8-2\times 3$$

Add 5 and 24 to get 29.

$$\left(15-\left(x^{3}-5\right)\right)\left(29-4\right)-3+8-2\times 3$$

Subtract 4 from 29 to get 25.

$$\left(15-\left(x^{3}-5\right)\right)\times 25-3+8-2\times 3$$

Multiply 2 and 3 to get 6.

$$\left(15-\left(x^{3}-5\right)\right)\times 25-3+8-6$$

Subtract 6 from 8 to get 2.

$$\left(15-\left(x^{3}-5\right)\right)\times 25-3+2$$

Add -3 and 2 to get -1.

$$\left(15-\left(x^{3}-5\right)\right)\times 25-1$$

To find the opposite of x^{3}-5, find the opposite of each term.

$$\left(15-x^{3}+5\right)\times 25-1$$

Add 15 and 5 to get 20.

$$\left(20-x^{3}\right)\times 25-1$$

Use the distributive property to multiply 20-x^{3} by 25.

$$500-25x^{3}-1$$

Subtract 1 from 500 to get 499.

$$499-25x^{3}$$