Question

Find a polynomial that represents the area of the square.

Answer 1

49x² + 126x + 81

Explanation:

A = a²

Since a = 7x + 9

=> A = (7x+9)²

= 49x² + 126x + 81

Note: (a+b)² = a² + 2ab + b²

Answer 2

49x²+126x+81

Explanation:

Area of any square is length²

If the length given is 7x+9, we can square this to find out what represents the area:

`(7x+9)^(2)`

`(7x+9)(7x+9)`

`49x^(2) +63x+63x+81`

`49x^(2) +126x+81`