Factor b^(-2) - 25 over Real numbers?

2 Answers
Jim G.
Feb 11, 2018

(1/b-5)(1/b+5)

Explanation:

b^-2-25=1/b^2-25

1/b^2-25" is a "color(blue)"difference of squares"

•color(white)(x)a^2-b^2=(a-b)(a+b)

"here "a=1/b" and "b=5

rArrb^-2-25=(1/b-5)(1/b+5)

Jim G.
Feb 11, 2018

b^-2(1-5b)(1+5b)

Explanation:

"take out a "color(blue)"common factor of "b^-2

b^-2(1-25b^2)

=b^-2(1-5b)(1+5b)larrcolor(blue)"difference of squares"

"as another possibility"

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