Question

(x+5)×(x+5)-(x+1)×(x+1)=48

Answer 1

Раскроем скобки. 
x^2 +5x + 5 x +25 - (x^2 +x + x +1) = 48
x^2-x^2 +8x +24 = 48
8x+24 = 48
8x = 24
x= 24/8
x=3

Answer 2

To solve the equation (x+5)×(x+5) - (x+1)×(x+1) = 48, you can start by simplifying the expression on the left-hand side and then solving for x. Here's how you can do it step by step:

1. Expand both sides of the equation: (x+5)×(x+5) - (x+1)×(x+1) = 48

   (x^2 + 10x + 25) - (x^2 + 2x + 1) = 48

2. Now, simplify the equation by combining like terms: x^2 + 10x + 25 - x^2 - 2x - 1 = 48

3. Simplify further by subtracting (x^2 - x^2) and (-2x + 10x): 8x + 24 = 48

4. Subtract 24 from both sides of the equation to isolate 8x: 8x = 48 - 24

   8x = 24

5. Finally, divide both sides by 8 to solve for x: x = 24 / 8

   x = 3

So, the solution to the equation (x+5)×(x+5) - (x+1)×(x+1) = 48 is x = 3.