ADDITION OF ALGEBRAIC EXPRESSION
There are two ways of adding algebraic expression – the horizontal method and the column method.
Horizontal method –
Suppose there are some algebraic expressions which is to be like to add, and the algebraic expressions are –
1) Add 3a + 4b – 3c, -4a + 3b – 7c, 5a – 4b + 8c
Step.-1) connect all the expression by the positive sign
(3a + 4b – 3c) + (-4a + 3b – 7c) + ( 5a – 4b + 8c )
Step.-2) collect the like terms in groups
= ( 3a – 4a + 5a ) + ( 4b + 3b – 4b ) + ( -3c – 7c + 8c )
Step.-3) add the terms in each group
= ( 3 – 4 + 5 ) a + ( 4 + 3 – 4 ) b + ( -3 – 7 + 8 ) c
Step.- 4) write the unlike terms along with their signs to form an algebraic expression.
= 4a + 3b – 2c (Ans.)
2) Add 5a – 6b + 5c, 7a + 5b + 4c, 8a – 5b – 6c.
Step.-1) connect all the expression by the positive sign
(5a – 6b + 5c) + (7a + 5b + 4c ) + (8a – 5b – 6c)
Step.-2) collect the like terms in groups
= ( 5a + 7a + 8a ) + ( -6b + 5b – 5b ) + ( 5c + 4c – 6 c )
Step.-3) add the terms in each group
= ( 5 + 7 + 8 ) a + ( -6 + 5 – 5 ) b + ( 5 + 4 - 6 ) c
Step.-4) write the unlike terms along with their signs to form an algebraic expression.
= 20a - 6b + 3c (Ans.)