Example of addition, Mathematics

Example 1

Add 4x4 + 3x3 - x2 + x + 6 and -7x4 - 3x3 + 8x2 + 8x - 4

We write them one below the other as shown below.

 

  4x4 + 3x3 -   x2 +   x + 6

(+)

-7x4 - 3x3 + 8x2 + 8x - 4


 

-3x4  +  0   + 7x2 + 9x + 2


Example 2

Add 5x5 - 6x3 + 4x2 + 3x - 7, 3x5 - 2x4 + 3x2 + 6x - 1

 and- 3x4 + x3 - 5x2 + 7x + 4

          5x5   +  - 6x3   + 4x2 +   3x  - 7

          3x5   - 2x4+     + 3x2 +   6x  - 1

                  - 3x4+ x3     - 5x2 +   7x  + 4


          8x5 - 5x4  - 5x3 + 2x2 + 16x  - 4


Example 3

Subtract -7x4 - 3x3+ 8x2 + 8x - 4 from 4x4 + 3x3 - x2 + x + 6

 

 

  4x4     + 3x3-    x2    +   x    +  6

 

(-)

-7x4     - 3x3 +   8x2 +   8x  -  4


 

 

11x4     + 6x3 -   9x2 -   7x +  10


In this problem, in some expressions we do not find terms of certain powers. They have been left as blanks.

Example 4

Subtract the first from the second and sum the difference with the third expression. The expressions are given below.

5x5 - 6x3 + 4x2 + 3x - 7,  3x5 - 2x4 + 3x2 + 6x - 1 and -3x4 + x3 - 5x2 + 7x + 4.

The difference of first two expressions is given by

 

   3x5  - 2x4              + 3x2 + 6x - 1

(-)

   5x5            - 6x3      + 4x2 + 3x - 7


 

 -2x5 - 2x4  + 6x3      -   x2 + 3x + 6


The sum of the difference between the first two expressions and the third expression will be as shown below.

-2x5 - 2x4  + 6x3  -   x2  +   3x  +   6

(+)   - 3x4+   x3  - 5x2  +   7x  +   4


-2x5 - 5x4+ 7x3  -  6x2 + 10x  + 10


Posted Date: 9/13/2012 3:11:27 AM | Location : United States







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