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QUESTION IMAGE

(5x - 4)(5x + 4)

Question

(5x - 4)(5x + 4)

Explanation:

Step1: Identify the formula

This is a product of two binomials in the form \((a - b)(a + b)\), which follows the difference of squares formula: \((a - b)(a + b)=a^2 - b^2\). Here, \(a = 5x\) and \(b = 4\).

Step2: Apply the formula

Substitute \(a = 5x\) and \(b = 4\) into the formula: \((5x)^2-4^2\).

Step3: Simplify the terms

Calculate \((5x)^2 = 25x^2\) and \(4^2 = 16\), so the expression becomes \(25x^2 - 16\).

Answer:

\(25x^2 - 16\)