Solve x^2-1/2*(x^2+3)*(x^2+1)

$$\frac{ { x }^{ 2 } -1 }{ 2 \times ( { x }^{ 2 } +3) \times ( { x }^{ 2 } +1) }$$

Evaluate

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

Short Solution Steps

Use the distributive property to multiply 2 by x^{2}+3.

$$\frac{x^{2}-1}{\left(2x^{2}+6\right)\left(x^{2}+1\right)}$$

Use the distributive property to multiply 2x^{2}+6 by x^{2}+1 and combine like terms.

$$\frac{x^{2}-1}{2x^{4}+8x^{2}+6}$$

Expand

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

Short Solution Steps

Use the distributive property to multiply 2 by x^{2}+3.

$$\frac{x^{2}-1}{\left(2x^{2}+6\right)\left(x^{2}+1\right)}$$

Use the distributive property to multiply 2x^{2}+6 by x^{2}+1 and combine like terms.

$$\frac{x^{2}-1}{2x^{4}+8x^{2}+6}$$