Question

(2x-1)(x+1)-( x-1)(x+1)=x^2

Answer 1

Решение и ответ на рисунке

Answer 2

Let's simplify the expression step by step to verify if the given equation is true:

Given expression: (2x - 1)(x + 1) - (x - 1)(x + 1) = x^2

Step 1: Expand both sets of parentheses. (2x - 1)(x + 1) = 2x^2 + 2x - x - 1 = 2x^2 + x - 1 (x - 1)(x + 1) = x^2 + x - x - 1 = x^2 - 1

Step 2: Substitute the expanded forms back into the original equation. (2x^2 + x - 1) - (x^2 - 1) = x^2

Step 3: Remove the parentheses and simplify the expression. 2x^2 + x - 1 - x^2 + 1 = x^2

Step 4: Combine like terms. 2x^2 - x^2 + x - 1 + 1 = x^2

Step 5: Simplify further. x^2 + x = x^2

Step 6: Subtract x^2 from both sides to isolate x on one side of the equation. x = 0

Now, we have found the value of x which satisfies the given equation. So the equation (2x - 1)(x + 1) - (x - 1)(x + 1) = x^2 is true when x = 0.