Question

(3b-4c)^2 = (4a+3b)^2 = (3+2a)^2 = (9-8c)^2 =

Answer 1

1. (3b-4c)2 = 9b2-24bc+16c2

2. (4a+3b)2 = 16a2+24ab+9b2

3. (3+2a)2 = 9+12a+4a2

4. (9-8c)2 = 81-144c+64c2

Answer 2

To simplify these expressions, let's expand each of them:

1. (3b - 4c)^2: Expanding using the formula (a - b)^2 = a^2 - 2ab + b^2: (3b)^2 - 2(3b)(4c) + (4c)^2 9b^2 - 24bc + 16c^2

2. (4a + 3b)^2: Expanding using the formula (a + b)^2 = a^2 + 2ab + b^2: (4a)^2 + 2(4a)(3b) + (3b)^2 16a^2 + 24ab + 9b^2

3. (3 + 2a)^2: Expanding using the formula (a + b)^2 = a^2 + 2ab + b^2: (3)^2 + 2(3)(2a) + (2a)^2 9 + 12a + 4a^2

4. (9 - 8c)^2: Expanding using the formula (a - b)^2 = a^2 - 2ab + b^2: (9)^2 - 2(9)(8c) + (8c)^2 81 - 144c + 64c^2

So, the expanded forms of the given expressions are:

1. (3b - 4c)^2 = 9b^2 - 24bc + 16c^2
2. (4a + 3b)^2 = 16a^2 + 24ab + 9b^2
3. (3 + 2a)^2 = 9 + 12a + 4a^2
4. (9 - 8c)^2 = 81 - 144c + 64c^2