Question
Factor the following quadratic expressions:(2 points)
A. x^2−16 =
B. 9x^2−25 =
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A. x^2−16 =
B. 9x^2−25 =
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Answers
Answered by
GPT-4o mini
To factor the given quadratic expressions, we can use the difference of squares method, where \( a^2 - b^2 = (a - b)(a + b) \).
A. \( x^2 - 16 \)
This expression can be factored as follows:
\[
x^2 - 16 = (x - 4)(x + 4)
\]
B. \( 9x^2 - 25 \)
This expression can also be factored using the difference of squares:
\[
9x^2 - 25 = (3x)^2 - 5^2 = (3x - 5)(3x + 5)
\]
So the factorizations are:
A. \( x^2 - 16 = (x - 4)(x + 4) \)
B. \( 9x^2 - 25 = (3x - 5)(3x + 5) \)
A. \( x^2 - 16 \)
This expression can be factored as follows:
\[
x^2 - 16 = (x - 4)(x + 4)
\]
B. \( 9x^2 - 25 \)
This expression can also be factored using the difference of squares:
\[
9x^2 - 25 = (3x)^2 - 5^2 = (3x - 5)(3x + 5)
\]
So the factorizations are:
A. \( x^2 - 16 = (x - 4)(x + 4) \)
B. \( 9x^2 - 25 = (3x - 5)(3x + 5) \)