Q. 4

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

Answer :

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.


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Champ Quiz | Linear Equation in One Variable44 mins
Discussion on Algebric Identities48 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses