1) (x+7a)²= 2) (2x-4c)²= 3) (4a+b)(4a-b)= 4) (6x-4c)²= 5) (3x+10)²= вариант 23 1) (5a-10)²= 2) (x+8y)²= 3) (4с+к)²= 4) (c-1)(1+c)= 5) (c+3x)²=

1) \[(x+7a)^2 = x^2 + 2 \cdot x \cdot 7a + (7a)^2 = x^2 + 14ax + 49a^2\]

2) \[(2x-4c)^2 = (2x)^2 - 2 \cdot 2x \cdot 4c + (4c)^2 = 4x^2 - 16xc + 16c^2\]

3) \[(4a+b)(4a-b) = (4a)^2 - b^2 = 16a^2 - b^2\]

4) \[(6x-4c)^2 = (6x)^2 - 2 \cdot 6x \cdot 4c + (4c)^2 = 36x^2 - 48xc + 16c^2\]

5) \[(3x+10)^2 = (3x)^2 + 2 \cdot 3x \cdot 10 + 10^2 = 9x^2 + 60x + 100\]

Вариант 23

1) \[(5a-10)^2 = (5a)^2 - 2 \cdot 5a \cdot 10 + 10^2 = 25a^2 - 100a + 100\]

2) \[(x+8y)^2 = x^2 + 2 \cdot x \cdot 8y + (8y)^2 = x^2 + 16xy + 64y^2\]

3) \[(4c+\kappa)^2 = (4c)^2 + 2 \cdot 4c \cdot \kappa + \kappa^2 = 16c^2 + 8c\kappa + \kappa^2\]

4) \[(c-1)(1+c) = (c-1)(c+1) = c^2 - 1\]

5) \[(c+3x)^2 = c^2 + 2 \cdot c \cdot 3x + (3x)^2 = c^2 + 6cx + 9x^2\]