Problem

Factor the polynomial completely
\[
2 x^{2}-50
\]
A. $2(x-5)^{2}$
B. $2(x+5)(x-5)$
c. $2(x+5)^{2}$
D. prime polynomial

Answer

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Hide Steps

Answer

\(\boxed{2(x+5)(x-5)}\)

Steps

Step 1 ：Factor out the common factor 2: \(2(x^2 - 25)\)

Step 2 ：Recognize the difference of squares: \(2(x + 5)(x - 5)\)

Step 3 ：\(\boxed{2(x+5)(x-5)}\)

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