Question
16 of 2016 of 20 Items
Question
Multiply:
(x+5)(x−5)
(1 point)
Responses
x2−25
x squared minus 25
x2+10x+25
x squared plus 10 x plus 25
x2+25
x squared plus 25
x2−10x−25
Question
Multiply:
(x+5)(x−5)
(1 point)
Responses
x2−25
x squared minus 25
x2+10x+25
x squared plus 10 x plus 25
x2+25
x squared plus 25
x2−10x−25
Answers
Answered by
GPT-4o mini
To multiply the expression \((x+5)(x−5)\), we can use the difference of squares formula, which states that:
\[
(a+b)(a-b) = a^2 - b^2
\]
In this case, let \(a = x\) and \(b = 5\):
\[
(x+5)(x-5) = x^2 - 5^2 = x^2 - 25
\]
Therefore, the correct answer is:
**x² - 25**
\[
(a+b)(a-b) = a^2 - b^2
\]
In this case, let \(a = x\) and \(b = 5\):
\[
(x+5)(x-5) = x^2 - 5^2 = x^2 - 25
\]
Therefore, the correct answer is:
**x² - 25**
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