Question

Express the following as the difference of two squares: 

(x² + x + 1) (x² – x + 1)

Answer 1

We are given:

(x² + x + 1) (x² – x + 1)

We know the identity:

(a + b + c)(a – b + c) = (a + c)² – b²

Here:

• a = x²
• b = x
• c = 1

So, (x² + 1)² – (x)².