Solve left(x-1right)left(x+1right)left(x^2+1right)

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

Evaluate

$$x^{4}-1$$

Solution Steps

Use the distributive property to multiply x-1 by x+1 and combine like terms.

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

Multiplication can be transformed into difference of squares using the rule: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}. Square 1.

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

To raise a power to another power, multiply the exponents. Multiply 2 and 2 to get 4.

$$x^{4}-1$$

Expand

$$x^{4}-1$$

Solution Steps

Use the distributive property to multiply x-1 by x+1 and combine like terms.

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

Multiplication can be transformed into difference of squares using the rule: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}. Square 1.

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

To raise a power to another power, multiply the exponents. Multiply 2 and 2 to get 4.

$$x^{4}-1$$