Question

(5х-1)(4х+7) - 4х(5х-8);

Answer 1

Ответ:

(5x-1)(4x+7)-4x(5x-8)
5x(4x+7)-1(4x+7)-20x²+32x
20x²+35x-4x-7-20x²+32x
20x²+63x-7-20x²
63x-7
7(9x-1)

Объяснение:

Answer 2

To simplify the expression (5x-1)(4x+7) - 4x(5x-8), let's expand and combine like terms:

Expanding the first parentheses: (5x-1)(4x+7) = 5x * 4x + 5x * 7 - 1 * 4x - 1 * 7 = 20x^2 + 35x - 4x - 7 = 20x^2 + 31x - 7

Expanding the second parentheses: -4x(5x-8) = -4x * 5x + (-4x) * (-8) = -20x^2 + 32x

Now, we can substitute the expanded forms back into the expression: (5x-1)(4x+7) - 4x(5x-8) = (20x^2 + 31x - 7) - (-20x^2 + 32x) = 20x^2 + 31x - 7 + 20x^2 - 32x = (20x^2 + 20x^2) + (31x - 32x) - 7 = 40x^2 - x - 7

Therefore, the simplified expression is 40x^2 - x - 7.