Question

Answer 1

`(x^5 - 2x^2y^2z + y^5) + (x^4 + 5x^2y^2z - y^5)`

`= x^5 - 2x^2y^2z + y^5 + x^4 + 5x^2y^2z - y^5`

`= x^5 + x^4 - (2x^2y^2z -5x^2y^2z) + (y^5 - y^5)`

`=x^5 + x^4 +3x^2y^2z `

`b) (1/2x^2y^3 - 5xyz + z^4 -1/4) + (1,5x^2y^3 +xyz - z^4 + 9/4)`

`= 1/2x^2y^3 - 5xyz + z^4 - 1/4 + 3/2x^2y^3 + xyz - z^4 + 9/4`

`=(1/2x^2y^3 + 3/2x^2y^3) - (5xyz - xyz) + (z^4  - z^4) - (1/4 -9/4)`

`= 2x^2y^3 - 4xyz +2`