1. Observe the algebraic expression: First, we need to observe the form and structure of the algebraic expression carefully. Determine variables, constants and operators in algebraic expressions.

2. Merge similar items: If there are similar items in the algebraic formula (that is, items with the same variables and indexes), we can merge them together. This can make algebraic expressions more concise.

3. Eliminate irrelevant items: After merging similar items, you need to check whether there are other irrelevant items in the algebraic expression. These items may be redundant and can be deleted. For example, for polynomials, we can eliminate constant terms. For fractions, we can get rid of items with zero denominator.

4. Simplify algebraic expressions: After removing irrelevant items, we may need to further simplify algebraic expressions. This can be achieved by applying some basic algebraic algorithms, such as distribution law, associative law, commutative law and so on.

5. Check the results: Finally, we need to check whether the simplified algebraic expression meets the expected results. This can be verified by recombining the simplified algebraic expressions into the original form. If the result is correct, then we can get the final simplified result.

The method of simplifying algebra is as follows:

1, distribution law: multiply the items in brackets by external coefficients respectively, and merge similar items.

2. Merge similar items: merge items with the same variables and indexes, and merge them by addition or subtraction.

3. Exponential law: Simplify according to the properties of exponents, such as multiplication and division and power operation with the same base number.

4. Simplify the score: For the score, you can try to simplify the score or find the simplest form.

5. Simplify multiplication: If there are items that are multiplied continuously, you can try to simplify or merge them.

6. Factorization: the algebraic expression is decomposed into the form of order product, and the common factor is found for extraction.

7. Move the items and arrange them: according to the needs, move the items of variables to one side and arrange them into the required form.

8. Elimination method: eliminate or simplify the variables and terms in the equation through addition, subtraction or substitution.

9. Change variables: select and replace variables appropriately to simplify or change the algebraic form.

10, using identities: using known mathematical identities or formulas to transform algebraic expressions into simpler forms.