**Category : **7th Class

Addition and subtraction of an algebraic expressions mean addition and subtraction of like terms.

** Addition of an Algebraic Expression**

For addition of algebraic expression we may follow any one of the following methods:

**Row Method**

In this method, write all expression in a single row then arrange the terms to collect all like terms together and add it.

**Column Method**

In this method, arrange each expression in such a way that each like term is placed one below to other in a column.

**Add \[3x+2y+3z\]and \[2x-3y+4z\]**

**Solution: **

\[(3x+2y+3z)+(2x-3y+4z)\]

\[=(3x+2x)+(2y-3y)+(3z+4z)=5x-y+7z\]

Column method

\[3x+2y+3z\]

\[\frac{+2x-3y+4z}{5x-y+7z}\]

**Subtraction of an Algebraic Expression**

For subtraction also you may follow any one of the following method

**Row Method**

We arrange algebraic expression in a row and change the sign (from + to ?, ? or ? to +) of all terms which is to be subtracted. The two expression then added as above.

**Column Method**

Arrange two expression in such a way that like terms are placed one below the other and change the sign (from + to ?,or ? to +) of algebraic expression which is to be subtracted.

**Subtract \[5{{a}^{2}}{{b}^{2}}+6{{a}^{2}}{{b}^{2}}+4\] from \[7{{a}^{2}}b-6{{a}^{2}}{{b}^{2}}+5\] **

**Solution: **

By row method,

\[(7{{a}^{2}}b-6{{a}^{2}}{{b}^{2}}+5)-(5{{a}^{2}}b-6{{a}^{2}}{{b}^{2}}+4)\]

\[=7{{a}^{2}}b-6{{a}^{2}}{{b}^{2}}+5-5{{a}^{2}}b-6{{a}^{2}}{{b}^{2}}-4\]

Arrange like terms and add, we get \[=2{{a}^{2}}b-12{{a}^{2}}{{b}^{2}}+1\]

By column method,

\[7{{a}^{2}}b-6{{a}^{2}}{{b}^{2}}+5\] \[\frac{{{\underline{5a}}^{2}}b+6\underline{{{a}^{2}}}{{b}^{2}}+\underline{4}}{2{{a}^{2}}b-12{{a}^{2}}{{b}^{2}}+1}\]

*play_arrow*Algebraic Expression*play_arrow*The value of an Algebraic Expression*play_arrow*Operations on Algebraic Expression*play_arrow*Algebraic identities*play_arrow*Factorization of the Polynomials

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