Question

(3x-7)^2+(5x-7)×(5x+7)+100x​

Answer 1

Объяснение:

както так................

Answer 2

To simplify the expression (3x-7)^2 + (5x-7)(5x+7) + 100x, let's break it down step by step:

1. Expand the square of the binomial (3x-7)^2: (3x-7)^2 = (3x-7)(3x-7) = 9x^2 - 21x - 21x + 49 = 9x^2 - 42x + 49

2. Multiply the binomials (5x-7)(5x+7) using the FOIL method: (5x-7)(5x+7) = 5x * 5x + 5x * 7 - 7 * 5x - 7 * 7 = 25x^2 + 35x - 35x - 49 = 25x^2 - 49

3. Now, let's simplify the entire expression by combining like terms: (3x-7)^2 + (5x-7)(5x+7) + 100x = (9x^2 - 42x + 49) + (25x^2 - 49) + 100x = 9x^2 + 25x^2 - 42x + 100x + 49 - 49 = 34x^2 + 58x

Therefore, the simplified expression is 34x^2 + 58x.