What is factor 1/25-9z^2 ?

The solution to factor 1/25-9z^2 is (1/5+3z)(1/5-3z)

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factor 1/25-9z^2

factor

\frac{1}{25} - 9 z^{2}

(\frac{1}{5} + 3 z) (\frac{1}{5} - 3 z)

Solution steps

\frac{1}{25} - 9 z^{2}

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

9 z^{2} = (3 z)^{2}

= (\frac{1}{5})^{2} - (3 z)^{2}

Apply Difference of Two Squares Formula:

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

(\frac{1}{5})^{2} - (3 z)^{2} = (\frac{1}{5} + 3 z) (\frac{1}{5} - 3 z)

= (\frac{1}{5} + 3 z) (\frac{1}{5} - 3 z)

- 8 (w - 6) = 32

7 z - 11.2 < - 8 + 5 z

4 x^{2} - 8 x - 21

- \frac{1}{2}

\frac{2 π}{\frac{1}{2}}