Question

difference of perfect squares (level 1)
score: 3/8 penalty: 1 off
question
factor completely.
121 - 16x²
answer attempt 1 out of 3
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Explanation:

Step1: Identify the difference of squares

The expression \(121 - 16x^2\) is a difference of two perfect squares. Recall the formula for the difference of squares: \(a^2 - b^2=(a + b)(a - b)\). Here, \(a^2 = 121\) and \(b^2=16x^2\).
So, \(a=\sqrt{121} = 11\) and \(b=\sqrt{16x^2}=4x\).

Step2: Apply the difference of squares formula

Substitute \(a = 11\) and \(b = 4x\) into the formula \(a^2 - b^2=(a + b)(a - b)\).
We get \(121-16x^2=(11 + 4x)(11 - 4x)\).

Answer:

\((11 + 4x)(11 - 4x)\)