Question

IF A and B are two algebraic expressions than A/b is called algebraic expression
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Answer 1

If A and B are two algebraic expressions then $\dfrac{A}{B} .$ is called algebraic expression.

Solution:

Given:

A =  algebraic expression and

B =  algebraic expression

∴ $\dfrac{A}{B}$ is also called algebraic expression. True

Thus, the given statement is true.

Answer 2

Given  :      A and B are two algebraic expressions

To Find:  whether A/B is called algebraic expressions

Solution:

An algebraic expression is an expression  combination of  integer constants, variables, and the algebraic operations.

algebraic operations used are addition, subtraction, multiplication, division and exponentiation by an exponent that is a rational number

A is algebraic expression

B is algebraic expression

Hence A and B satisfy above all conditions

now A/B     use a division  which is also allowed

or   A x B⁻¹  use multiplication and exponent -1 which is rational number and both are allowed

Hence A/B  is also algebraic expression

This can be an rational expression as well

all polynomials are algebraic expressions but converse is not true.

as all algebraic expressions are not polynomials

Learn More:

A and B are two algebraic expressions

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