Question

(m-1)(m+1)-(m-3)²пожалуйста помогите ​

Answer 1

Ответ:

6m-10

Объяснение:

(m-1)(m+1)-(m-3)²=(m^2-1)-(m^2-6m+9)=6m-10

Answer 2

Ответ:

= m² - 1 - m² + 6m - 9 = 6m - 10

Answer 3

To simplify the expression (m-1)(m+1) - (m-3)², we can expand and simplify each term. Let's break it down step by step:

1. Expand (m-1)(m+1): - Using the distributive property, we multiply each term in the first parentheses by each term in the second parentheses. - (m-1)(m+1) = m(m+1) - 1(m+1) - Simplifying further, we get m² + m - m - 1 = m² - 1.

2. Expand (m-3)²: - Using the exponent rule for squaring, we multiply (m-3) by itself. - (m-3)² = (m-3)(m-3) - Applying the distributive property, we get m(m-3) - 3(m-3) - Simplifying further, we get m² - 3m - 3m + 9 = m² - 6m + 9.

3. Substitute the expanded forms back into the original expression: - (m-1)(m+1) - (m-3)² = (m² - 1) - (m² - 6m + 9) - Removing the parentheses, we get m² - 1 - m² + 6m - 9 - Combining like terms, we have 6m - 10.

Therefore, the simplified form of the expression (m-1)(m+1) - (m-3)² is 6m - 10.

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