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### Grade 6 - Mathematics12.36 Addition of Binomials - I

#### Horizontal Method

In this method, the expressions to be added are summed first. Then like terms in the expressions are written together using Associative Law for addition.

Example: Add the expressions (3a2+2b), (7a-4b) and (a2-6a).
Solution:
Summing the expressions, we have,
(3a2+2b)+(7a-4b)+(a2-6a)

Writing the like-terms together using Associative Law,
(3a2+a2)+(2b-4b)+(7a-6a)
=(3a2+a2)+[2b+(-4)b]+[7a+(-6)a]
=(3+1)a2+[2+(-4)]b+[7+(-6)]a
=4a2+(-2)b+a .......(Adding like terms)
=4a2-2b+a.

Directions: Add the binomials given below. Also write at least 10 examples of your own.
 Q 1: Add (3x+4y) and (x-2y).3x2+2y24x+2y2a+6b Q 2: Add (5a+4b) and (-3a+2b).4x+2y2a+6b14ab8a+6b Q 3: Add (2m+n) and (3n-m).m+4n3m+4n4m+4n2m-2n Q 4: Add (a2+b2) and (2a2-b2).3a22a26a4a2 Q 5: Add (-3c-4d) and (8c-6d).11c-10d11c+2d5c-10d-9c+4d Q 6: Add (8p-9q) and (5q+6p).14p+14q14p-4q15p+15q13p-3q Question 7: This question is available to subscribers only! Question 8: This question is available to subscribers only!

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