# CLASS-8VERTICAL SUBTRACTION OF ALGEBRAIC EXPRESSION

Vertical Subtraction of Algebraic Expression –

Step.1) Write the subtrahend ( that is, the expression to be subtracted ) below the minuend ( that is, the expression from which to subtracted ) in such a way that the like terms are in the same column.

Step.2) Change the sign of each term of the subtrahend.

Example.1)  Subtract 12xy – 5y from 22xy + 8x

Ans.)        22 xy + 8x

12 xy      - 5y

-             +             ( changing the sign of the each term )

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10 xy + 8x + 5y

( where, 22 – 12 = 10, 8 – 0 = 8, and 0 + 5 = 5 )    (Ans.)

Example.2)  Subtract 8a²- 8ab + 10 from 15a² + 5b⁴ - 12ab + 22

Ans.)      15a²+ 5b⁴ - 12ab + 22

8a²       - 8ab  + 10

-             +       -        ( changing the sign of the each term )

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7a² + 5b⁴ - 4ab + 12

( where, 15 – 8 = 7, 5 – 0 = 5, - 12 + 8 = - 4, and 22 - 10 = 12 ) (Ans.)

Example.3)  Subtract 5a² + 12ab – 10 from the sum of 12a² - 10ab + 4b²- 15 and 15a² + 5b⁴ - 12ab + 22

Ans.) First we have to add 12a² - 10ab + 4b² - 15 and 15a² + 5b⁴ - 12ab + 22

12a² - 10ab + 4b² - 15

+   15a² - 12ab        + 22+ 5b⁴

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27a² - 22ab + 4b² + 7 + 5b⁴

Now, we have to subtract 5a² + 12ab – 10 from 27a² - 22ab + 4b² + 7 + 5b⁴

27a² - 22ab + 4b² + 7 + 5b⁴

5a² + 12ab        - 10

-       -               +

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22a² - 34ab + 4b² + 17 + 5b⁴                  (Ans.)