Question

Add the following monomials -
a. 3x,5x,2x
b. 5a,a,-7a
c. 2abc,-abc,5abc
d. -2xy,7xy,15xy,-10xy,xy,-xy
e. 3a,4b,-6a,-2b,-5a,10b
f. a,6a,-2b,5c,-2c

Answer 1

Answer:

a) 10x

b) -a

c) 6abc

d) 10xy

e) -8a + 12b

f) 7a -2b + 3c

Answer 2

Answer:

Answer of (a) is 10x ,(b) is  -a (c) is 6abc ,(d) is 10xy (e) is ( -8a +12b) (f)7a -2b +3c

Step-by-step explanation:

To solve these questions, we remember some points:

1. Add numerical values only'
2. When there are similar sign then we do addition. like if there is minus sign in all the terms then we do addition.But give the sign of minus.

   3.If there are different signs like plus and minus both then do subtraction      but give the sign of greater no.  

   4. Like terms are added    

(a) 3x+5x+2x=10 x

(b) 5a + a + (- 7a)= 5a+ a - 7a

                           = 6a - 7a= - a

(c) 2abc + ( - abc) +5abc= 2abc  - abc + 5abc

                                       = 2abc + 5abc - abc= 7abc -abc= 6abc

(d) -2xy +7xy +15xy +( -10xy) +xy + ( -xy) =-2xy +7xy +15xy - 10xy +xy - xy

                                                                = - 2xy - 10xy -1 xy + 7xy+15xy +1xy

                                                                = - 13 xy +23 xy= 10xy

(e) 3a+ 4b +( -6a) + ( -2b)+( - 5a )+10 b= 3a+4b - 6a -2b -5a +10b

                                                             = 3a - 6a - 5a + 4b -2b+10b

                                                             = 3a - 11 a+14b - 2b= - 8a+12b

(f) a+6a+ ( - 2b) +5c + ( -2c)=a+6a - 2b+5c -2c

                                             =7a -2b+3c