What is factor 1/25-25z^2 ?

The solution to factor 1/25-25z^2 is (1/5+5z)(1/5-5z)

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factor 1/25-25z^2

factor

\frac{1}{25} - 25 z^{2}

(\frac{1}{5} + 5 z) (\frac{1}{5} - 5 z)

Solution steps

\frac{1}{25} - 25 z^{2}

\frac{1}{25} = (\frac{1}{5})^{2}

25 z^{2} = (5 z)^{2}

= (\frac{1}{5})^{2} - (5 z)^{2}

Apply Difference of Two Squares Formula:

x^{2} - y^{2} = (x + y) (x - y)

(\frac{1}{5})^{2} - (5 z)^{2} = (\frac{1}{5} + 5 z) (\frac{1}{5} - 5 z)

= (\frac{1}{5} + 5 z) (\frac{1}{5} - 5 z)

10 0^{- 1}

5 x^{2} - 16 x - 45

\frac{9 !}{4 !}

x^{3} - x^{2} - 12 x

(59 y)^{\frac{3}{4}}

What is factor 1/25-25z^2 ?
The solution to factor 1/25-25z^2 is (1/5+5z)(1/5-5z)