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there are different rules to follow on how to multiply and divide algebraic expressions. but its basics concerns on what kind of terms you are using and the deep concern about its exponents. when you multiply or divide, it is very basic to utilize the distributive method, exponents are being added when we multiply, while subtracted when we divide.

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Q: What are the rules of multiplying and division on algebraic expression?
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The rules for simplifying an algebraic or numerical expression?

There are a few rules for simplifying an algebraic expression. Specifically, one should combine like terms, and then they should try to isolate the variable by doing the opposite, either multiplication or division.


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If you multiply X by Y you have to write XY (in alphabetical order).If you divide X by 2 you should write X over 2 (like a fraction).


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Answer: In mathematics, an algebraic expression is an expression built up from integer constants, variables, and the algebraic operations (addition, subtraction, multiplication, division and exponentiation by an exponent that is a rational number).[1] For example, {\displaystyle 3x^{2}-2xy+c} is an algebraic expression. Since taking the square rootis the same as raising to the power {\displaystyle {\tfrac {1}{2}}}, {\displaystyle {\sqrt {\frac {1-x^{2}}{1+x^{2}}}}} is also an algebraic expression. By contrast, transcendental numbers like πand e are not algebraic. A rational expression is an expressionthat may be rewritten to a rational fraction by using the properties of the arithmetic operations (commutative properties and associative properties of addition and multiplication, distributive property and rules for the operations on the fractions). In other words, a rational expression is an expression which may be constructed from the variables and the constants by using only the four operations of arithmetic. Thus, {\displaystyle {\frac {3x^{2}-2xy+c}{y^{3}-1}}} is a rational expression, whereas {\displaystyle {\sqrt {\frac {1-x^{2}}{1+x^{2}}}}} is not. A rational equation is an equation in which two rational fractions (or rational expressions) of the form {\displaystyle {\frac {P(x)}{Q(x)}}} are set equal to each other. These expressions obey the same rules as fractions. The equations can be solved by cross-multiplying. Division by zero is undefined, so that a solution causing formal division by zero is rejected. answer found on Brainly by mohamedeshna747


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