Find each product. See Example 5. (x + 1) (x + 1) (x - 1) (x - 1)

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Recognize that the expression is a product of two pairs of binomials: \((x + 1)(x + 1)\) and \((x - 1)(x - 1)\).

Rewrite each pair as a square: \((x + 1)^2\) and \((x - 1)^2\).

Recall the formula for the square of a binomial: \((a + b)^2 = a^2 + 2ab + b^2\) and \((a - b)^2 = a^2 - 2ab + b^2\).

Expand each square using the formula: \((x + 1)^2 = x^2 + 2x + 1\) and \((x - 1)^2 = x^2 - 2x + 1\).

Multiply the two expanded expressions: \((x^2 + 2x + 1)(x^2 - 2x + 1)\), and then use the distributive property (FOIL) to find the product.

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