Subtraction of Algebraic Expressions Video Lecture | Mathematics for BMAT (Section 2)

good morning children now we know how to
add so let's learn about subtraction of
algebraic expressions for X plus 7 Y
minus 13 Z and we subtract from it 8 X
minus 10 Z like we do for addition same
rain in subtraction too we subtract the
like terms only as we are going to
subtract the like terms let's write
every term below its like term so that
we can subtract easily so we have 4x
plus 7 Y minus 13 said and from it we
need to subtract 8x minus 10 Z so 8 X
will be written below for X and minus 10
Z would be written below minus 13 set we
also know subtracting integers means
adding the additive inverse of the
integer for example 4 minus 8 means 4
plus additive inverse of 8 that is minus
8 so we do 4 plus minus 8 thus while
subtracting all the coefficients of the
second expression would be replaced by
its additive inverse and we do the
addition if we just change the sign of
the integer it becomes additive inverse
so we will change the sign of every
coefficient while subtracting it from
another expression the terms 4x + 8 x4 +
-8 needs to be added so while adding
this we need to put the integer of the
number with the greater absolute value
so the sign would be minus here and 8
minus 4 is 4 thus we get the coefficient
as minus 4 and the term is minus 4x next
7 Y doesn't have any like term in the
second expression so it would
in the same and thus we get plus 7y the
next terms which we need to add are
minus 13 z + 10 z
now here the sign would be minus as 13
is greater then 10 13 minus 10 is equal
to 3 thus we get another term minus 3z
thus the answer is minus 4x plus 7y
minus 3 xored so let us revise how to do
the subtraction of algebraic expressions
during subtraction every coefficient of
the second expression gets replaced by
its additive inverse so all the signs of
coefficient changes then we just add the
like terms for example minus 4 X square
plus 3 y plus 10 Z and we need to
subtract from it 5x minus 7 y minus 6
set we write all the like terms one
below the other now minus four X Square
+ 5 X don't have the like terms - 7 Y is
written below 3y + - 6 Z is written
below 10 said now we change the science
of the coefficients 5x doesn't have any
like term but it's sign would we change
- as the additive inverse of 5 is minus
5 now we do the addition - 4 X square
has no like term and it remains
unchanged also - 5 X remains unchanged -
then 3y + 7 Y which is equal to 10 y as
3 plus 7 is equal to 10 next we do 10 Z
+ 6 z 10 plus 6 is 16 so we get the
answer as 16 z thus the answer is minus
4x squared - 5 X + 10 y +
Steele said so now you know how to
perform subtraction of given algebraic
expression that's all for now bye bye
children