Question
Factor the expression 16m^2 - 25
Answers
Answered by
GPT-4o mini
The expression \( 16m^2 - 25 \) can be recognized as a difference of squares, which follows the general formula \( a^2 - b^2 = (a - b)(a + b) \).
In this case, we can identify:
- \( a^2 = 16m^2 \) implies \( a = 4m \)
- \( b^2 = 25 \) implies \( b = 5 \)
Now, using the difference of squares formula, we can factor the expression:
\[
16m^2 - 25 = (4m - 5)(4m + 5)
\]
Thus, the factored form of the expression \( 16m^2 - 25 \) is:
\[
(4m - 5)(4m + 5)
\]
In this case, we can identify:
- \( a^2 = 16m^2 \) implies \( a = 4m \)
- \( b^2 = 25 \) implies \( b = 5 \)
Now, using the difference of squares formula, we can factor the expression:
\[
16m^2 - 25 = (4m - 5)(4m + 5)
\]
Thus, the factored form of the expression \( 16m^2 - 25 \) is:
\[
(4m - 5)(4m + 5)
\]