Addition and Subtraction of Algebraic Expression - Algebraic Expressions

hello everyone
drave session we'll be discussing how to
add and subtract the algebraic
expressions to start with we'll be
learning how to add and subtract the
terms followed by how to add and
subtract the algebraic expression so let
us take the first example the first
example we are adding a like terms as
the algebraic factor is x and X here we
are just I'm just expanding the same
each of the term now this I can write in
this manner also this is the
distributive law applied distributive
law also applies to the variables
because variable in turn are also a
number this gives me also the Nixon so
this way 3x plus 4x will give a result
of 7x now let me try one more example
with a subtraction to subtract it is
first expand this I hope you still
remember that the terms can only be
added in an algebraic expression so I
have put this minus 4 plus in
this gives us
it's this tree and similarly you can try
this also
it would give me plus four plus two the
result would be so here we have talked
they're taken three examples for the
like terms so in light terms the sum of
two or more like terms is a like term
whose numerical coefficient is equal to
the sum of the numerical coefficient of
all the terms so hi hope this is clearly
understood similarly when I talk about
the difference the difference between
the two like term is a like term with
the numerical coefficient equal to the
difference between the numerical
coefficient of the terms so this is
clear to let me talk about unlike terms
unlike terms cannot be added or
subtracted if I have a term like this
there cannot be further simplification
in this same way if I have a term like
this it cannot add these two terms to
simplify so this gives me an example of
how life terms can be simplified to
further terms and how unlike terms
remains as it is and they cannot be
further simplification for the same so
this gives an example of how we are
adding and subtracting terms moving to
the further topic of how to add and
subtract general algebraic expressions
now we already unaware how to add and
subtract the terms so if we have given
an example of the 3x plus 11 and you are
asked to add this with 7x minus 5 all we
have to do is group them and
and with the like terms so in this
example you can see that this is the
like term group and this is one more
like terms which are grouped so the
solution would be do the simplification
of the like terms
do the addition between the like terms
so here the addition between the like
terms will be 3x plus 7 X would give me
10x and the addition between 11 minus 5
would cure mistakes so this will be my
resultant answer of adding 3x plus 11
with 7x minus 5 hope this is clear let
me take one more example on how to add
this this is actually the right time for
you to pause and try it on your own also
now here you can see if I group them to
group the like term together I have a
first group of 3x plus 7x a second group
of 11 minus spy in the second third
group of AIDS it with nothing in the
denominator or nothing in the second
term so I say it's just a zero and now
if I add the two the like term creates
plus 7x form strain X 11 minus 5 will
form 6 & 8 that will remain as it is
because it is added at 0 so this would
be the resultant answer when I add 3x
plus 11 plus a trait with 7x minus 5
after going through addition let us take
one example for the subtraction now here
we have to subtract a minus B from 3 a
minus B plus 4 so let us start write 3 a
minus B plus 4 and then write a minus B
to subtract the rule is change the first
sign to addition and then the
coefficient numeric coefficient the sign
for the numeric coefficient should be in
worst so here as a is positive L the
inverse the sign with negative as minus
B is negative L inverse the sign to plus
B and here anyway we don't have anything
so not required and now we should start
the addition so 3a minus a will give me
2 a minus B plus B will give me 0 and
passport with nothing here or say 0 here
will give me plus 4
the answer to this would be 2a plus 4
let me repeat this subtraction because
it is little tricky
three and minus B plus four we have to
subtract a minus B from this number so
what we are doing is we are writing
three a minus B plus 4 and then we are
saying a subtraction sign for this a
minus B from the above number and the
rule for subtraction is we have to add
and to add what we are doing is we are
just inverting then times caught all the
terms so here we are inverting the sign
making it minor because here we have a
else positive you made negating it minus
B is negative here will be positive or
making it positive so now if I want to
add this what it will be 3m minus a so
this gives me two a plus minus B minus B
will give me zero plus four okay the
same example you control in this method
also I have the first term three a minus
B plus four now as I have to subtract
the term a minus B from the first term
what I will be doing is I can put three
a minus B plus four to an addition let
this - be inside so this will be minus
into minus of positive a will be giving
me - a and this minus of minus B will
giving me Class B so this will give me
three a minus a plus minus B plus BT
plus four so this gives me two a plus
this is another method of solving the
same example I hope that this is clear
to you how to add and subtract the terms
and how to add and subtract the
algebraic expression thank you