Calculus Examples

${(x^{2} - 1)}^{2}$

Step 1

Rewrite $1$ as $1^{2}$ .

${(x^{2} - 1^{2})}^{2}$

Step 2

Since both terms are perfect squares, factor using the difference of squares formula, $a^{2} - b^{2} = (a + b) (a - b)$ where $a = x$ and $b = 1$ .

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

Step 3

Apply the product rule to $(x + 1) (x - 1)$ .

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