Question

Какое из следующих выражений является одночленом: (а+в+с)х; ва в 3 степенив во 2 степени ;ав/2; ср; а+1/а-1; 5х в 5 степениу в 3 степени; и почему

Answer 1

Первое выражение, (a+b+c)x

Answer 2

Identifying a Monomial Expression

A monomial expression is an algebraic expression consisting of a single term. Let's evaluate each of the given expressions to determine which one is a monomial.

- (а в с)х - ва в 3 степенив во 2 степени - ав/2 - ср - а 1/а-1 - 5х в 5 степениу в 3 степени

Analysis of Expressions

1. (а в с)х: This expression is not a monomial because it contains the product of variables (а, в, с) and another variable (х), making it a polynomial, not a monomial.

2. ва в 3 степенив во 2 степени: This expression is not a monomial because it contains the product of variables (в, а) raised to different powers, making it a polynomial, not a monomial.

3. ав/2: This expression is not a monomial because it contains the quotient of variables (а, в) and a constant (2), making it a polynomial, not a monomial.

4. ср: This expression is not a monomial because it consists of a single variable (с) without an exponent, making it a constant, not a monomial.

5. а 1/а-1: This expression is not a monomial because it contains the quotient of variables (а, 1) and a variable subtracted by 1, making it a polynomial, not a monomial.

6. 5х в 5 степениу в 3 степени: This expression is not a monomial because it contains the product of variables (х, у) raised to different powers, making it a polynomial, not a monomial.

Based on the analysis, none of the given expressions is a monomial because they all contain multiple terms or variables raised to different powers, making them polynomials rather than monomials.

Conclusion

None of the given expressions is a monomial because they do not meet the criteria of being a single-term algebraic expression.