Factor completely 2x2 − 50.
a) prime
b) 2(x − 5)(x + 5)
c) 2(x2 − 25)
d) 2(x + 5)(x + 5)

b) 2(x - 5)(x + 5)

Step-by-step explanation:

2x² - 50

2(x² - 25)

(x² - 25) is a difference of squares and it equals (x - 5)(x + 5)

So the answer is;

2(x - 5)(x + 5)

(f - g)(x) = 5x^3 - 3

step-by-step explanation:

rearrange these functions vertically, with like terms in separate columns:

f(x) = 5x^3 - 2

g(x) =         +1

now subtract, column by column:

(f - g)(x) = 5x^3 - 3

step-by-step explanation:

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