Question

1. (а + 2b)2 2. (3m + 4c)2 3. (5d – 3c)2

Answer 1

Ответ:

если 2- это степень, то:

а² +4b +4b²

9m² + 24cm +16c²

25d² - 30dc + 9c²

если 2 - это множитель, то:

2а + 4b

6m + 8c

10d - 6c

Answer 2

To expand these expressions, you can use the distributive property, also known as the FOIL method for binomial expressions. Here's how you can expand each of the expressions:

1. (a + 2b)^2:

   (a + 2b)^2 = a^2 + 2ab + 2ab + (2b)^2 = a^2 + 4ab + 4b^2

2. (3m + 4c)^2:

   (3m + 4c)^2 = (3m)^2 + 2(3m)(4c) + (4c)^2 = 9m^2 + 24mc + 16c^2

3. (5d - 3c)^2:

   (5d - 3c)^2 = (5d)^2 - 2(5d)(3c) + (3c)^2 = 25d^2 - 30dc + 9c^2

So, the expanded forms of the expressions are:

1. a^2 + 4ab + 4b^2
2. 9m^2 + 24mc + 16c^2
3. 25d^2 - 30dc + 9c^2