Answer:
33250
Step-by-step explanation:
Pedro had earned a gross income of 35200 last year.
So, the gross income of Pedro for the current year will also be 35200.
But, this year he has taken the standard deduction of 5450.
Hence, his current year's income will be reduced to (35200-5450)= 29750.
Again, in the current year, he got an exemption of 3500.
Therefore, the net taxable income of Pedro for the current year will become (29750+3500) =33250. (Answer)
ANSWER
![P-G = 11{w}^{4} - 5 {w}^{2} {z}^{2} - 4z^{4}](https://tex.z-dn.net/?f=P-G%20%3D%2011%7Bw%7D%5E%7B4%7D%20-%205%20%7Bw%7D%5E%7B2%7D%20%20%7Bz%7D%5E%7B2%7D%20%20%20-%204z%5E%7B4%7D)
EXPLANATION
The given polynomials are:
![G = - 3 {w}^{4} + 2 {w}^{2} {z}^{2} + 5z^{4}](https://tex.z-dn.net/?f=G%20%3D%20%20-%203%20%7Bw%7D%5E%7B4%7D%20%20%2B%202%20%7Bw%7D%5E%7B2%7D%20%20%7Bz%7D%5E%7B2%7D%20%20%2B%205z%5E%7B4%7D%20)
and
![P = 8 {w}^{4} - 3{w}^{2} {z}^{2} + z^{4}](https://tex.z-dn.net/?f=P%20%3D%208%20%7Bw%7D%5E%7B4%7D%20%20%20-%203%7Bw%7D%5E%7B2%7D%20%20%7Bz%7D%5E%7B2%7D%20%20%2B%20z%5E%7B4%7D%20)
We want to subtract these two polynomials.
![P-G = 8 {w}^{4} - 3{w}^{2} {z}^{2} + z^{4} - (- 3 {w}^{4} + 2 {w}^{2} {z}^{2} + 5z^{4} )](https://tex.z-dn.net/?f=P-G%20%3D%208%20%7Bw%7D%5E%7B4%7D%20%20%20-%203%7Bw%7D%5E%7B2%7D%20%20%7Bz%7D%5E%7B2%7D%20%20%2B%20z%5E%7B4%7D%20%20-%20%28-%203%20%7Bw%7D%5E%7B4%7D%20%20%2B%202%20%7Bw%7D%5E%7B2%7D%20%20%7Bz%7D%5E%7B2%7D%20%20%2B%205z%5E%7B4%7D%20%29)
Expand the right hand side to obtain:
![P-G = 8 {w}^{4} - 3{w}^{2} {z}^{2} + z^{4} + 3 {w}^{4} - 2 {w}^{2} {z}^{2} - 5z^{4}](https://tex.z-dn.net/?f=P-G%20%3D%208%20%7Bw%7D%5E%7B4%7D%20%20%20-%203%7Bw%7D%5E%7B2%7D%20%20%7Bz%7D%5E%7B2%7D%20%20%2B%20z%5E%7B4%7D%20%20%20%2B%203%20%7Bw%7D%5E%7B4%7D%20%20%20-%20%202%20%7Bw%7D%5E%7B2%7D%20%20%7Bz%7D%5E%7B2%7D%20%20%20-%20%205z%5E%7B4%7D%20)
Group the similar terms:
![P-G = 8 {w}^{4} + 3 {w}^{4}- 3{w}^{2} {z}^{2} - 2 {w}^{2} {z}^{2} - 5z^{4} + z^{4}](https://tex.z-dn.net/?f=P-G%20%3D%208%20%7Bw%7D%5E%7B4%7D%20%20%2B%203%20%7Bw%7D%5E%7B4%7D-%203%7Bw%7D%5E%7B2%7D%20%20%7Bz%7D%5E%7B2%7D%20-%20%202%20%7Bw%7D%5E%7B2%7D%20%20%7Bz%7D%5E%7B2%7D%20%20%20-%20%205z%5E%7B4%7D%20%2B%20z%5E%7B4%7D)
Combine the similar terms to get:
![P-G = 11{w}^{4} - 5 {w}^{2} {z}^{2} - 4z^{4}](https://tex.z-dn.net/?f=P-G%20%3D%2011%7Bw%7D%5E%7B4%7D%20-%205%20%7Bw%7D%5E%7B2%7D%20%20%7Bz%7D%5E%7B2%7D%20%20%20-%204z%5E%7B4%7D)