# CLASS-6SUBTRACTION OF ALGEBRAIC EXPRESSION - COLUMN METHOD

SUBTRACTION OF ALGEBRAIC EXPRESSION (COLUMN METHOD) -

Subtraction of algebraic expressions are explained in each step:

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

So, the answer is 2a - 8b + 4c      (Ans.)

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

Solution:

Arranging the terms of the given expressions in descending powers of x and subtracting columnwise:

- 2x² + x + 5

+ 3x²- 6x - 4

(-)     (+)   (+)

-----------------------

- 5x² + 7x + 9

So, the answer is  - 5x² + 7x + 9        (Ans.)

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

Solution:

9x – 5y + z

+ 3x +  y – 3z

(-)    (-)   (+)

-----------------------

6x – 6y + 4z

So, the answer is  6x – 6y + 4z     (Ans.)