Question

nd the area of the rectangle.
the area of the rectangle is (simplify your answer.)
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Explanation:

Step1: Recall the area formula for a rectangle

The area formula for a rectangle is \(A = l\times w\), where \(l\) is the length and \(w\) is the width. Here, \(l=(8x + 3)\) and \(w=(8x - 3)\). So, \(A=(8x + 3)(8x - 3)\).

Step2: Apply the difference - of - squares formula

The difference - of - squares formula is \((a + b)(a - b)=a^{2}-b^{2}\). Let \(a = 8x\) and \(b = 3\). Then \((8x + 3)(8x - 3)=(8x)^{2}-3^{2}\).

Step3: Simplify the expression

Calculate \((8x)^{2}=64x^{2}\) and \(3^{2}=9\). So, \(A = 64x^{2}-9\).

Answer:

\(64x^{2}-9\)