Question
Factor completely.
1, minus, 100, x, squared
1−100x
2
Answer
Attempt 1 out of 5
1, minus, 100, x, squared
1−100x
2
Answer
Attempt 1 out of 5
Answers
GPT-4o mini
To factor the expression \( 1 - 100x^2 \), we can recognize that it is a difference of squares. The expression can be rewritten as:
\[
1 - (10x)^2
\]
Using the difference of squares formula, \( a^2 - b^2 = (a - b)(a + b) \), we can identify \( a = 1 \) and \( b = 10x \). Thus, we have:
\[
1 - (10x)^2 = (1 - 10x)(1 + 10x)
\]
So, the complete factorization of the expression \( 1 - 100x^2 \) is:
\[
(1 - 10x)(1 + 10x)
\]
\[
1 - (10x)^2
\]
Using the difference of squares formula, \( a^2 - b^2 = (a - b)(a + b) \), we can identify \( a = 1 \) and \( b = 10x \). Thus, we have:
\[
1 - (10x)^2 = (1 - 10x)(1 + 10x)
\]
So, the complete factorization of the expression \( 1 - 100x^2 \) is:
\[
(1 - 10x)(1 + 10x)
\]