Evaluate (x^2-5)^2-5

${(x^{2} - 5)}^{2} - 5$

Simplify each term.

Rewrite ${(x^{2} - 5)}^{2}$ as $(x^{2} - 5) (x^{2} - 5)$ .

$(x^{2} - 5) (x^{2} - 5) - 5$

Expand $(x^{2} - 5) (x^{2} - 5)$ using the FOIL Method.

Apply the distributive property.

$x^{2} (x^{2} - 5) - 5 (x^{2} - 5) - 5$

Apply the distributive property.

$x^{2} x^{2} + x^{2} \cdot - 5 - 5 (x^{2} - 5) - 5$

Apply the distributive property.

$x^{2} x^{2} + x^{2} \cdot - 5 - 5 x^{2} - 5 \cdot - 5 - 5$

Simplify and combine like terms.

Simplify each term.

Multiply $x^{2}$ by $x^{2}$ by adding the exponents.

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$x^{2 + 2} + x^{2} \cdot - 5 - 5 x^{2} - 5 \cdot - 5 - 5$

Add $2$ and $2$ .

$x^{4} + x^{2} \cdot - 5 - 5 x^{2} - 5 \cdot - 5 - 5$

Move $- 5$ to the left of $x^{2}$ .

$x^{4} - 5 \cdot x^{2} - 5 x^{2} - 5 \cdot - 5 - 5$

Multiply $- 5$ by $- 5$ .

$x^{4} - 5 x^{2} - 5 x^{2} + 25 - 5$

Subtract $5 x^{2}$ from $- 5 x^{2}$ .

$x^{4} - 10 x^{2} + 25 - 5$

Subtract $5$ from $25$ .

$x^{4} - 10 x^{2} + 20$