Question

Алгебра 7 класс а(а-2b)-(3b+а)^2

Answer 1

А(а-2б)-(3б+а)²

а²-2аб-(9б²+6аб+а²)

раскрываем скобки:

а²-2аб-9б²-6аб-а²

-8аб-9б²

Answer 2

здравствуй.

$a(a-2b)-(3b+a)^2=\\=a^2-2ba-(9b^2+6ab+a^2)=\\=a^2-2ba-9b^2-6ab-a^2=\\=-8ba-9b^2$

удачи в учёбе.

Answer 3

To simplify the given algebraic expression, let's follow these steps:

1. Expand the square: (3b + a)^2 = (3b + a) * (3b + a).
2. Perform multiplication using the distributive property.
3. Combine like terms.

The expression is: а(а - 2b) - (3b + а)^2

Step 1: Expand the square (3b + a)^2 = (3b + a) * (3b + a) = 9b^2 + 3ab + 3ab + a^2 = 9b^2 + 6ab + a^2

Step 2: Multiply а by each term in (а - 2b) а(а - 2b) = а * а - а * 2b = а^2 - 2ab

Step 3: Substitute the expanded square and the result of Step 2 back into the original expression: а(а - 2b) - (3b + а)^2 = (а^2 - 2ab) - (9b^2 + 6ab + a^2)

Now, let's combine like terms: = а^2 - 2ab - 9b^2 - 6ab - a^2

Next, combine the "a^2" terms and the "-2ab" and "-6ab" terms: = (а^2 - a^2) - 2ab - 6ab - 9b^2 = -8ab - 9b^2

The simplified expression is: -8ab - 9b^2