Question

Add (in horizontal arrangement):

(1) 9p + 7q, 2p + 5q
(2) 6m² + 7n², 11n² + 4m²
(3) 3a² – 2b², 5b² – a²
(4) 3b + 4c – d, 2d – c + 7b
(5) x + y + 2z, 2y + z + x
(6) 2p + 3q + 4c, 4q – 5p

Answer 1

(1) Horizontal arrangement:
(9p + 7q) + (2p + 5q)
Combining the like terms and adding them, we get:
9p + 2p + 7q + 5q = 11p + 12q

(2) Horizontal arrangement:
(6m² + 7n²) + (11n² + 4m²)
Combining the like terms and adding them, we get:
6m² + 4m² + 7n² + 11n² = 10m² + 18n²

(3) Horizontal arrangement:
(3a² − 2b² ) + (5b² − a² )
Combining the like terms and adding them, we get:
3a² − a² − 2b² + 5b² = 2a² + 3b²

(4) Horizontal arrangement:
(3b + 4c – d) + (2d – c + 7b)
Combining the like terms and adding them, we get:
3b + 7b + 4c − c − d + 2d = 10b + 3c + d

(5) Horizontal arrangement:
(x + y + 2z) + (2y + z + x)
Combining the like terms and adding them, we get:
x + x + y + 2y + 2z + z = 2x + 3y + 3z

(6) Horizontal arrangement:
(2p + 3q + 4c) + (4q − 5p)
Combining the like terms and adding them, we get:
2p − 5p + 3q + 4q + 4c = −3p + 7q + 4c