Solve x^2-1,x^3-1

$$x ^ { 2 } - 1 , x ^ { 3 } - 1$$

Least Common Multiple

$$\left(x^{2}-1\right)\left(x^{2}+x+1\right)$$

Solution Steps

Factor the expressions that are not already factored.

$$x^{2}-1=\left(x-1\right)\left(x+1\right) x^{3}-1=\left(x-1\right)\left(x^{2}+x+1\right)$$

Identify all the factors and their highest power in all expressions. Multiply the highest powers of these factors to get the least common multiple.

$$\left(x-1\right)\left(x+1\right)\left(x^{2}+x+1\right)$$

Expand the expression.

$$x^{4}+x^{3}-x-1$$

Evaluate

$$x^{2}-1,x^{3}-1$$