Solve (1+a)(a-1)(a^2+1)

$$( 1 + a ) ( a - 1 ) ( a ^ { 2 } + 1 )$$

Evaluate

$$a^{4}-1$$

Solution Steps

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

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

Use the distributive property to multiply -1+a^{2} by a^{2}+1 and combine like terms.

$$-1+a^{4}$$

Expand

$$a^{4}-1$$

Solution Steps

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

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

Use the distributive property to multiply -1+a^{2} by a^{2}+1 and combine like terms.

$$-1+a^{4}$$