Question

B+4 во 2 степени 6-x во 2 степени 4a-5b во 2 степени

Answer 1

(b+4)²=b²+8b+16
(6-x)²=36-12x+x²
(4a-5b)²=16a²-40ab+25b²

Answer 2

Для выполнения всех этих действий воспользуемся формулой сокращённого умножения:
$(a + b)^{2} = a^{2} + 2ab + b^{2}$ или $(a - b)^{2} = a^{2} - 2ab + b^{2}$
1)  $(b + 4)^{2} = b^{2} + 2*b*4 + 4^{2} = b^{2} + 8b + 16$
2)  $(6 - x)^{2} = 6^{2} - 2*6*x + x^{2} = 36 - 12x + x^{2}$
3)  $(4a - 5b)^{2} = (4a)^{2} - 2*4a*5b + (5b)^{2} = 16a^{2} - 40ab + 25 b^{2}$

Answer 3

To simplify the given expression, let's break it down step by step:

1. B+4 in the 2nd power: (B + 4)^2
2. 6 - x in the 2nd power: (6 - x)^2
3. 4a - 5b in the 2nd power: (4a - 5b)^2

Now, we'll combine these expressions:

(B + 4)^2 * (6 - x)^2 * (4a - 5b)^2

To further simplify this expression, we can use the formula for expanding the square of a binomial: (a + b)^2 = a^2 + 2ab + b^2.

1. Expanding (B + 4)^2: (B + 4)^2 = B^2 + 2B4 + 4^2 = B^2 + 8B + 16

2. Expanding (6 - x)^2: (6 - x)^2 = 6^2 - 26x + x^2 = 36 - 12x + x^2

3. Expanding (4a - 5b)^2: (4a - 5b)^2 = (4a)^2 - 24a5b + (5b)^2 = 16a^2 - 40ab + 25b^2

Now, combining all the simplified expressions:

(B + 4)^2 * (6 - x)^2 * (4a - 5b)^2 = (B^2 + 8B + 16) * (36 - 12x + x^2) * (16a^2 - 40ab + 25b^2)

We can leave it in this expanded form or perform further calculations depending on the context of the problem.