Question

1) am²-an² 2) 9m²-(1+2m)²​

Answer 1

Объяснение:

ответ на фото что не понятно спрашивай

Answer 2

Ответ:

${am}^{2} - {an}^{2} = a(m + n)(m - n) \\ {9m}^{2} - (1 + 2m {)}^{2} = (5m + 1)(m - 1)$

Answer 3

Let's simplify the given expressions:

1. am² - an²:

Factor out the common term "a" and simplify the expression: a(m² - n²)

Now, you can further factor the difference of squares (m² - n²) if applicable. The difference of squares can be factored as (a + b)(a - b), where "a" is m and "b" is n in this case:

a(m + n)(m - n)

So, the simplified expression is a(m + n)(m - n).

2. 9m² - (1 + 2m)²:

First, expand the square of (1 + 2m): (1 + 2m)² = 1 + 4m + 4m²

Now, subtract this from 9m²: 9m² - (1 + 4m + 4m²)

Distribute the negative sign inside the parentheses: 9m² - 1 - 4m - 4m²

Now, combine like terms (the terms with m² and the terms with m): (9m² - 4m²) + (-1 - 4m)

Combine the m² terms: 5m² + (-1 - 4m)

Now, you can simplify further: 5m² - 4m - 1

So, the simplified expression is 5m² - 4m - 1.