Solve (8)(a-1)(a+1)(a^2-1)

$$( 8 ) ( a - 1 ) ( a + 1 ) ( a ^ { 2 } - 1 )$$

Evaluate

$$8\left(a^{2}-1\right)^{2}$$

Solution Steps

Use the distributive property to multiply 8 by a-1.

$$\left(8a-8\right)\left(a+1\right)\left(a^{2}-1\right)$$

Use the distributive property to multiply 8a-8 by a+1 and combine like terms.

$$\left(8a^{2}-8\right)\left(a^{2}-1\right)$$

Use the distributive property to multiply 8a^{2}-8 by a^{2}-1 and combine like terms.

$$8a^{4}-16a^{2}+8$$

Expand

$$8a^{4}-16a^{2}+8$$

Solution Steps

Use the distributive property to multiply 8 by a-1.

$$\left(8a-8\right)\left(a+1\right)\left(a^{2}-1\right)$$

Use the distributive property to multiply 8a-8 by a+1 and combine like terms.

$$\left(8a^{2}-8\right)\left(a^{2}-1\right)$$

Use the distributive property to multiply 8a^{2}-8 by a^{2}-1 and combine like terms.

$$8a^{4}-16a^{2}+8$$