Find each product : (4x+5)(4x-5)

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Recognize that the expression (4x + 5)(4x - 5) is a product of two binomials in the form (a + b)(a - b), which is a difference of squares pattern.

Recall the difference of squares formula: $\\(a + b)(a - b) = a^2 - b^2\$\).

Identify $a = 4x$ and $b = 5$ in the given expression.

Apply the formula by squaring each term: calculate $a^2 = (4x)^2$ and $b^2 = 5^2$.

Write the product as $a^2 - b^2 = (4x)^2 - 5^2$, which simplifies to $16x^2 - 25$.

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Concetti chiave

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