Solve f(a+2)=a+2^3-2(a+2^2)+(a+2)-9

$$f ( a + 2 ) = a + 2 ^ { 3 } - 2 ( a + 2 ^ { 2 } ) + ( a + 2 ) - 9$$

Evaluate

$$-7$$

Solution Steps

Calculate 2 to the power of 3 and get 8.

$$a+8-2\left(a+2^{2}\right)+a+2-9$$

Calculate 2 to the power of 2 and get 4.

$$a+8-2\left(a+4\right)+a+2-9$$

Use the distributive property to multiply -2 by a+4.

$$a+8-2a-8+a+2-9$$

Combine a and -2a to get -a.

$$-a+8-8+a+2-9$$

Subtract 8 from 8 to get 0.

$$-a+a+2-9$$

Subtract 9 from 2 to get -7.

$$-a+a-7$$

Combine -a and a to get 0.

$$-7$$

Factor

$$-7$$