Add the following algebraic expressions:
i. 2x2 + 3x + 5 and 3x2 - 4x -7
ii. x2 - 2 x -3 and x2 + 3x + 1
iii. 2t2 + t -4 and 1 – 3t – 5t2
iv. xy - yz, yz - xz and zx - xy
v. a2 + b2, b2 + c2, c2 + a2 and 2ab + 2bc + 2ca
i. 2x2 + 3x + 5 and 3x2 - 4x -7
Column method of addition
5
- x -2
ii. 
-2 x -3 and 
+ 3x + 1
Column method of addition
+ x -2
iii. 
+ t -4 and 
Row method of addition
(
+ t -4) + (
)
Now combine the like terms
= (
) + (t-3t) + (-4 + 1)
= 
- 2t - 3
iv. xy - yz, yz - xz and zx - xy
(xy-yz) + (yz-xz) + ( zx-xy)
Now combine the like terms
= (xy-xy) + (-yz + yz) + ( -xz + zx)
= 0 + 0 + 0
= 0
V. 
+ 
, 
+ 
, 
+ 
and 2ab + 2bc + 2ca
Observe we have written the term- 
of the second polynomial below the corresponding term 
of the first polynomial. Since the term 
in the second polynomial and the term 2ab + 2bc + 2ca in the fourth polynomial do not exist, so their respective places have been left blank to facilitate the process of addition.
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