Question

In the case find whether the trinomial is a perfect square or not:

x² + 14x + 49 

Answer 1

x² + 14x + 49 

= (x)² + 2 × x × 7 + (7)²

= (x + 7)²    ...[a² + 2ab + b² =(a + b)²]

∴ The given trinomial x² + 14x + 49 is a perfect square.