Question

Simplify: (x²+x+1)(x²-x+1)​

Answer 1

Answer:

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Answer 2

Answer:

x⁴ + x² + 1  is the simplified form

Step-by-step explanation:

We need to simplify:

(x²+x+1)(x²-x+1)​

= x² (x² - x + 1) + x (x² - x + 1) + 1 (x² - x + 1)

= x⁴ - x³ + x² + x³ - x² + x + ​​​x² - x + 1

Write all the x⁴ terms together, all x³ terms together, all x² terms together and all x terms together.

= x⁴ - x³ + x³ + x² - x² + x² + x - x + 1

= x⁴ + x² + 1

∴ (x² + x + 1)(x² - x + 1) = ​x⁴ + x² + 1  in simplified form