Question

Add each pair of monomials and match it to the correct sum.

Tiles
-15u3 + 5u3
10u3 + (-5u3)
10u3 + 5u3
5u3 + (-10u3)

Answer 1

-10u^3
5u^3
15u^3
-5u^3

Answer 2

-10u^3

5u^3

15u^3

-5u^3

Explanation:

Given tiles

-15u^3+5u^3

10u^3+(-5u^3)

10u^3+5u^3

5u^3+(-10u^3)

Monomial : that type of polynomial in which only one term .

Adding of polynomial : when we add two polynomial then the coefficient of like terms will be added and sum of unlike terms remain . There is no change in the power of like terms and unlike terms.

-15u^3+5u^3

coefficient of like terms means same viable with same power -15 and 5 .

Therefore, coefficient of these two terms added and no change in power of u^3

-15u^3+5u^3=-10u^3

Similarly,

10u^3+(-5u^3)=5u^3

10u^3+5u^3=15u^3

5u^3+(-10u^3)=-5u^3