Question

1.(X+7)(x-2)-x(x+5)= 2.x*(x+2)+27=(x+1)*(x+3)=

Answer 1

Ответ:

Пошаговое объяснение:

1. (X+7)(x-2)-x(x+5)=  x² - 2x + 7x - 14 - x² - 5x = -14

Answer 2

Let's solve the given equations step by step:

1. (x + 7)(x - 2) - x(x + 5)

Expanding the brackets: (x * x) + (x * (-2)) + (7 * x) + (7 * (-2)) - (x * x) - (x * 5)

Combining like terms: x^2 - 2x + 7x - 14 - x^2 - 5x

Simplifying further: (-2x + 7x - 5x) + (x^2 - x^2) - 14

Combining like terms: 0x - 14

The result is -14.

2. x(x + 2) + 27 = (x + 1)(x + 3)

Expanding the brackets: x^2 + 2x + 27 = x^2 + 4x + 3

Moving all terms to one side: x^2 + 2x + 27 - x^2 - 4x - 3 = 0

Combining like terms: (1x^2 - 1x^2) + (2x - 4x) + (27 - 3) = 0

Simplifying further: -2x + 24 = 0

Adding 2x to both sides: -2x + 2x + 24 = 0 + 2x

Simplifying: 24 = 2x

Dividing both sides by 2: 24/2 = 2x/2

Simplifying: 12 = x

The solution to the equation is x = 12.