Question

difference of perfect squares (level 1)
score: 0/8 penalty: 1 off
question
factor completely.
16x² - 25
answer attempt 1 out of 3
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Explanation:

Step1: Identify the form of difference of squares

The given expression is \(16x^2 - 25\). We can rewrite \(16x^2\) as \((4x)^2\) and \(25\) as \(5^2\). So the expression becomes \((4x)^2 - 5^2\).

Step2: Apply the difference of squares formula

The difference of squares formula is \(a^2 - b^2=(a + b)(a - b)\). Here, \(a = 4x\) and \(b = 5\). Substituting these values into the formula, we get \((4x + 5)(4x - 5)\).

Answer:

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