# 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

Division of Algebraic Expressions