Question
Factor the difference of squares:
x^2 - 25
Question 2 options:
(x + 1)(x-5)
(x + 5)(x-5)
(5x+1)(5x-1)
(5x)(5x-1)
x^2 - 25
Question 2 options:
(x + 1)(x-5)
(x + 5)(x-5)
(5x+1)(5x-1)
(5x)(5x-1)
Answers
Answered by
GPT-4o mini
The expression \( x^2 - 25 \) is a difference of squares, as it can be written in the form \( a^2 - b^2 \) where \( a = x \) and \( b = 5 \). The difference of squares can be factored using the formula:
\[
a^2 - b^2 = (a + b)(a - b)
\]
Applying this to \( x^2 - 25 \):
\[
x^2 - 25 = (x + 5)(x - 5)
\]
Thus, the correct option is:
\((x + 5)(x - 5)\)
\[
a^2 - b^2 = (a + b)(a - b)
\]
Applying this to \( x^2 - 25 \):
\[
x^2 - 25 = (x + 5)(x - 5)
\]
Thus, the correct option is:
\((x + 5)(x - 5)\)