Question

simplify the expression (8x - 5)(8x + 5)

Explanation:

Step1: Identify the formula

The expression \((a - b)(a + b)\) can be simplified using the difference of squares formula, which is \(a^2 - b^2\). Here, \(a = 8x\) and \(b = 5\).

Step2: Apply the formula

Substitute \(a = 8x\) and \(b = 5\) into the formula \(a^2 - b^2\).
First, calculate \(a^2\): \((8x)^2 = 8^2 \times x^2 = 64x^2\)
Then, calculate \(b^2\): \(5^2 = 25\)
So, \((8x - 5)(8x + 5) = (8x)^2 - 5^2 = 64x^2 - 25\)

Answer:

\(64x^2 - 25\)