Subtraction of Algebraic Expressions

Subtraction of algebraic expressions are explained in each steps:

Steps I: Arrange the terms of the given expressions in the same order.

Steps II: Write the given expressions in two rows in such a way that the like terms occur one below the other, keeping the expression to be subtracted in the second row.

Steps III: Change the sign of each term in the lower row from + to - and from - to +.

Steps IV: With new signs of the terms of lower row, add column wise. 

1. Subtract 4a + 5b - 3c from 6a - 3b + c

Solution: 

   6a  - 3b +   c 

+ 4a + 5b - 3c 

(-)   (-)   (+) 
_____________
  2a  - 8b  + 4c 
_____________

2. Subtract 3x² - 6x - 4 from 5 + x - 2x².

Solution:

Arranging the terms of the given expressions in descending powers of x and subtracting column-wise;

 - 2x² +  x + 5

 + 3x² - 6x - 4

 (-)   (+)  (+)
_____________
- 5x² + 7x + 9
_____________

3. Subtract 3x + y – 3z from 9x – 5y + z

Solution:

    9x – 5y + z

+ 3x +  y – 3z

(-)  (-)   (+)
_____________
  6x – 6y + 4z
_____________

● Algebraic Expression

Algebraic Expression

Addition of Algebraic Expressions

Subtraction of Algebraic Expressions

Multiplication of Algebraic Expression

Division of Algebraic Expressions

8th Grade Math Practice

From Subtraction of Algebraic Expressions to HOME PAGE