Solve -62:(-5+3)-[-2x(-1+3-1)^2-16:(-1+3)^2]=

$$- 62 : ( - 5 + 3 ) - [ - 2 x ( - 1 + 3 - 1 ) ^ { 2 } - 16 : ( - 1 + 3 ) ^ { 2 } ] =$$

Evaluate

$$2x+35$$

Solution Steps

Add -5 and 3 to get -2.

$$\frac{-62}{-2}-\left(-2x\left(-1+3-1\right)^{2}-\frac{16}{\left(-1+3\right)^{2}}\right)$$

Divide -62 by -2 to get 31.

$$31-\left(-2x\left(-1+3-1\right)^{2}-\frac{16}{\left(-1+3\right)^{2}}\right)$$

Add -1 and 3 to get 2.

$$31-\left(-2x\left(2-1\right)^{2}-\frac{16}{\left(-1+3\right)^{2}}\right)$$

Subtract 1 from 2 to get 1.

$$31-\left(-2x\times 1^{2}-\frac{16}{\left(-1+3\right)^{2}}\right)$$

Calculate 1 to the power of 2 and get 1.

$$31-\left(-2x-\frac{16}{\left(-1+3\right)^{2}}\right)$$

Add -1 and 3 to get 2.

$$31-\left(-2x-\frac{16}{2^{2}}\right)$$

Calculate 2 to the power of 2 and get 4.

$$31-\left(-2x-\frac{16}{4}\right)$$

Divide 16 by 4 to get 4.

$$31-\left(-2x-4\right)$$

To find the opposite of -2x-4, find the opposite of each term.

$$31+2x+4$$

Add 31 and 4 to get 35.

$$35+2x$$

Expand

$$2x+35$$

Solution Steps

Add -5 and 3 to get -2.

$$\frac{-62}{-2}-\left(-2x\left(-1+3-1\right)^{2}-\frac{16}{\left(-1+3\right)^{2}}\right)$$

Divide -62 by -2 to get 31.

$$31-\left(-2x\left(-1+3-1\right)^{2}-\frac{16}{\left(-1+3\right)^{2}}\right)$$

Add -1 and 3 to get 2.

$$31-\left(-2x\left(2-1\right)^{2}-\frac{16}{\left(-1+3\right)^{2}}\right)$$

Subtract 1 from 2 to get 1.

$$31-\left(-2x\times 1^{2}-\frac{16}{\left(-1+3\right)^{2}}\right)$$

Calculate 1 to the power of 2 and get 1.

$$31-\left(-2x-\frac{16}{\left(-1+3\right)^{2}}\right)$$

Add -1 and 3 to get 2.

$$31-\left(-2x-\frac{16}{2^{2}}\right)$$

Calculate 2 to the power of 2 and get 4.

$$31-\left(-2x-\frac{16}{4}\right)$$

Divide 16 by 4 to get 4.

$$31-\left(-2x-4\right)$$

To find the opposite of -2x-4, find the opposite of each term.

$$31+2x+4$$

Add 31 and 4 to get 35.

$$35+2x$$