Question

Add:

(1) 15x and 7y
(2) 23m²n and –9nm
(3) 12a²b, 13ab²
(4) 5a², 19b², c²
(5) –6n, 4m, –2n
(6) 3ab, –4bc, 2bc
(7) 18d, 10d², –8d, d²
(8) 11x², –21y², 9x², 11y²
(9) a, 2b, 2c, –c, –b, 3a
(10) 3a, 4a³, –5a²

Answer 1

(1) 15x and 7y
Because the given terms are unlike terms, the result of addition will be as follows:
15x + 7y

(2) 23m²n and −9nm
Because the given terms are unlike terms, the result of addition will be as follows:
23m²n − 9nm

(3) 12a²b and 13ab²
Because the given terms are unlike terms, the result of addition will be as follows:
12a²b + 13ab²

(4) 5a², 19b², c²
Because the given terms are unlike terms, the result of addition will be as follows:
5a² + 19b² + c²

(5) −6n, 4m, −2n
For the given terms, the result of addition will be as follows:
Combining the like terms and adding them, we get:
−6n + (−2n) + 4m = 4m − 8n

(6) 3ab, −4bc, 2bc
For the given terms, the result of addition will be as follows:
Combining the like terms and adding them, we get:
−4bc + 2bc + 3ab = 3ab − 2bc

(7) 18d, 10d², −8d, d²
For the given terms, the result of addition will be as follows:
Combining the like terms and adding them, we get:
10d² + d² + 18d + (−8)d
= (10 + 1)d² + (18 − 8)d
= 11d² + 10d

(8) 11x², −21y², 9x², 11y²
For the given terms, the result of addition will be as follows:
Combining the like terms and adding them, we get:
11x² + 9x² + 11y² − 21y²
= (11 + 9) x² + (11 − 21)y²
= 20x² − 10y²

(9) a, 2b, 2c, −c, −b, 3a
For the given terms, the result of addition will be as follows:
Combining the like terms and adding them, we get:
a + 3a + 2b − b + 2c − c
= 4a + b + c

(10) 3a, 4a³, −5a²
Because the given terms are unlike terms, the result of addition will be as follows:
4a³ − 5a² + 3a