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

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

Evaluate

$$2a^{4}-a^{2}-1$$

Solution Steps

Combine a^{2} and a^{2} to get 2a^{2}.

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

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

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

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

$$2a^{4}-a^{2}-1$$

Expand

$$2a^{4}-a^{2}-1$$

Solution Steps

Combine a^{2} and a^{2} to get 2a^{2}.

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

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

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

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

$$2a^{4}-a^{2}-1$$