Question

Simplify: (8u^3−9u^2y)−(−4uy^2−8y^3)+(10u^2y+11uy^2).

Answer 1

8u

3

+10u

2

y

−

˙

9u

2

y+11uy

2

+

˙

4uy

2

+8y

3

Answer 2

`8u^(3)+u^(2) y+15uy^(2)+8y^(3)`

Explanation:

You must combine like terms:

`(8u^(2)-9u^(2)y)-(-4uy^(2)-8y^(3))+(10u^(2)y+11uy^(2))= \\8u^(3) -9u^(2) y+4uy^(2) +8y^(3)+10u^(2)y+11uy^(2)\\\\10u^(2)y-9u^(2) y= u^(2)y \\4uy^(2)+11uy^(2)= 15uy^(2) \\\\8u^(3) -9u^(2) y+10u^(2) y+4uy^(2) +11uy^(2) +8y^(3) =8u^(3) +u^(2) y+15uy^(2) +8y^(3)`