Question

Янис: "Я не могу отличить выражения, которые разложены на множители, от выражений, которые не разложены на множители." Карлис: "Это просто - если в выражении есть действие умножение, то оно разложено на множители". Оцени и обоснуй, прав ли Карлис Помогите пожалуйста Буду благодарна :)

Answer 1

Это утверждение неверно. допустим у нас выражение: 2+5*2+1. в нём множители- это 5*2. если мы поставим скобки, чтобы получилось, что выражение разложено на множетели, то у выражения будет другой ответ.

Answer 2

Understanding the Question

Янис expresses difficulty in distinguishing expressions that are factored from those that are not factored. Карлис responds by saying that if there is a multiplication operation in the expression, then it is factored. The question is whether Карлис is correct in his statement.

Factoring Expressions

Factoring an expression involves breaking it down into its constituent parts, which are usually multiplied together. This process is commonly used in algebra to simplify expressions or solve equations. Factored expressions are typically written as a product of two or more factors.

Evaluating Карлис' Statement

Карлис claims that if an expression contains a multiplication operation, then it is factored. To evaluate the accuracy of this statement, we can consider some examples.

Example 1: 2x + 4 This expression contains a multiplication operation (2 * x), but it is not factored. It can be simplified by factoring out the common factor of 2: 2(x + 2).

Example 2: 3(x + 1) This expression contains a multiplication operation (3 * (x + 1)) and is factored. It can be expanded to 3x + 3.

From these examples, we can see that Карлис' statement is not entirely accurate. While factored expressions often involve multiplication operations, not all expressions with multiplication operations are factored. Factored expressions are specifically written as a product of factors, whereas expressions with multiplication operations may or may not be factored.

Therefore, Карлис' statement is not entirely correct. It is important to consider the specific form and structure of an expression to determine if it is factored or not.

I hope this explanation helps! Let me know if you have any further questions.