Question

difference of perfect squares (level 1)
score 1/9\tpenalty: 1 off
question
factor completely.
1 - 64x²
answer
(example 1 use of 3)
submit answer

Explanation:

Step1: Identify the difference of squares

The expression \(1 - 64x^2\) is a difference of perfect squares. Recall the formula for the difference of squares: \(a^2 - b^2=(a + b)(a - b)\). Here, \(a = 1\) (since \(1^2=1\)) and \(b = 8x\) (since \((8x)^2=64x^2\)).

Step2: Apply the difference of squares formula

Using the formula \(a^2 - b^2=(a + b)(a - b)\) with \(a = 1\) and \(b = 8x\), we substitute these values into the formula:
\(1 - 64x^2=1^2-(8x)^2=(1 + 8x)(1 - 8x)\)

Answer:

\((1 + 8x)(1 - 8x)\)