Subtraction of Like Terms

In subtraction of like terms when all the terms are negative, subtract their coefficients, also the variables and power of the like terms remains the same.


For example:

1. Subtract xy from 10xy.

Here, 10xy, xy are like terms

The difference of the coefficients = 10 - 1, [xy means 1xy]

Therefore, 10xy - xy = 9xy

Note: The result of subtraction of two like terms is also a like terms whose numerical coefficient is obtained by taking the difference of the numerical coefficients of like terms.

2. Subtract 4x from -8x

Here, 4x and -8x are like terms.

= -8x – (4x)

= -8x - 4x, [open the parenthesis]

= -12x.


3. Subtract -3x from -7x

Here, -3x and -7x are like terms

= -7x – (-3x)

= -7x + 3x, [since negative times negative is positive so, -(-3x) = +3x]

= -4x.


4. 15x - 4x - 12y - 3y

Here, 15x and 4x are like terms

and also 12y and 3y are like terms

15x - 4x = 11x

12y - 3y = 9y

Therefore, the answer is 11x - 9y.


5. Subtract 4x + 3y + z from 2x + 3y - z.

(2x + 3y - z) - (4x + 3y + z)

= 2x + 3y - z - 4x - 3y - z, [open the parenthesis]

Here, 4x and 2x are like terms,

3y and -3y are like terms

and also z and -z are like terms.

Now arranging the like terms, we get

= 2x - 4x + 3y - 3y - z  - z

= -2x + 0 - 2z, [Since, + 3y - 3y = 0]

= -2x - 2z

Note: The subtraction of two or more like terms is another like term whose numerical coefficient is the subtraction of the numerical coefficients of these like terms.

Thus, we observed that for solving the problems on subtracting like terms we can follow the same rules, as those used for solving subtraction of integers.

Terms

Like and Unlike Terms

Like Terms

Addition of Like Terms

Subtraction of Like Terms

Adding and Subtracting Like Terms

Unlike Terms

Addition of Unlike Terms

Subtraction of Unlike Terms






Algebra Page

6th Grade Page

From Subtraction of Like Terms to HOME PAGE




Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.



New! Comments

Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.

Share this page: What’s this?

Recent Articles

  1. Shifting of Digits in a Number |Exchanging the Digits to Another Place

    May 19, 24 06:35 PM

    Shifting of Digits in a Number
    What is the Effect of shifting of digits in a number? Let us observe two numbers 1528 and 5182. We see that the digits are the same, but places are different in these two numbers. Thus, if the digits…

    Read More

  2. Formation of Greatest and Smallest Numbers | Arranging the Numbers

    May 19, 24 03:36 PM

    Formation of Greatest and Smallest Numbers
    the greatest number is formed by arranging the given digits in descending order and the smallest number by arranging them in ascending order. The position of the digit at the extreme left of a number…

    Read More

  3. Formation of Numbers with the Given Digits |Making Numbers with Digits

    May 19, 24 03:19 PM

    In formation of numbers with the given digits we may say that a number is an arranged group of digits. Numbers may be formed with or without the repetition of digits.

    Read More

  4. Arranging Numbers | Ascending Order | Descending Order |Compare Digits

    May 19, 24 02:23 PM

    Arranging Numbers
    We know, while arranging numbers from the smallest number to the largest number, then the numbers are arranged in ascending order. Vice-versa while arranging numbers from the largest number to the sma…

    Read More

  5. Comparison of Numbers | Compare Numbers Rules | Examples of Comparison

    May 19, 24 01:26 PM

    Rules for Comparison of Numbers
    Rule I: We know that a number with more digits is always greater than the number with less number of digits. Rule II: When the two numbers have the same number of digits, we start comparing the digits…

    Read More

Terms - Worksheets

Worksheet on Like and Unlike Terms

Worksheet on Addition of Like Terms

Worksheet on Subtraction of Like Terms

Worksheet on Adding and Subtracting Like Terms

Worksheet on Combining Like Terms