Question

The measure of a side of a square is x units. A new square is formed with each side 6 units longer than the original square's side. Write a simplified expression to represent the area of the new square.

​

Answer 1

`A = x^2 + 12x + 36`

Explanation:

The new square's side can be algebraically expressed as
`x + 6`, as we know it's 6 units longer than the previous square with side length
`x`.

Therefore, its area would be:

`A = (x + 6)^2 \text{ // Remember: } (a + b)^2 = a^2 + 2ab + b^2\\\to A = x^2 + 12x + 36`