Question
The product $(x^2 - 1)(x^4 + x^2 + 1)$ is equal to:
✓
Answer
Given expression is$ (x^2 - 1)(x^4 + x^2 + 1)$
Let $x^2 = A$ and $1 = B$
Then, we have
$(A - B)(A^2 + AB + B^2)$
$= A^3 - B^3$
$= (X^2)^3 - (1)^3$
$= X^6 - 1$
Let $x^2 = A$ and $1 = B$
Then, we have
$(A - B)(A^2 + AB + B^2)$
$= A^3 - B^3$
$= (X^2)^3 - (1)^3$
$= X^6 - 1$
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