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. Quadrilaterals | Four Sided Polygon | Closed Figure | Adjoining Figure

    Jul 14, 25 02:55 AM

    Square
    Quadrilaterals are known as four sided polygon.What is a quadrilateral? A closed figure made of our line segments is called a quadrilateral. For example:

    Read More

  2. Formation of Numbers | Smallest and Greatest Number| Number Formation

    Jul 14, 25 01:53 AM

    In formation of numbers we will learn the numbers having different numbers of digits. We know that: (i) Greatest number of one digit = 9,

    Read More

  3. 5th Grade Geometry Practice Test | Angle | Triangle | Circle |Free Ans

    Jul 14, 25 01:53 AM

    Name the Angles
    In 5th grade geometry practice test you will get different types of practice questions on lines, types of angle, triangles, properties of triangles, classification of triangles, construction of triang…

    Read More

  4. 5th Grade Circle Worksheet | Free Worksheet with Answer |Practice Math

    Jul 11, 25 02:14 PM

    Radii of the circRadii, Chords, Diameters, Semi-circles
    In 5th Grade Circle Worksheet you will get different types of questions on parts of a circle, relation between radius and diameter, interior of a circle, exterior of a circle and construction of circl…

    Read More

  5. Construction of a Circle | Working Rules | Step-by-step Explanation |

    Jul 09, 25 01:29 AM

    Parts of a Circle
    Construction of a Circle when the length of its Radius is given. Working Rules | Step I: Open the compass such that its pointer be put on initial point (i.e. O) of ruler / scale and the pencil-end be…

    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