What is factor 1/4-25z^2 ?

The solution to factor 1/4-25z^2 is (1/2+5z)(1/2-5z)

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factor 1/4-25z^2

factor

\frac{1}{4} - 25 z^{2}

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

Solution steps

\frac{1}{4} - 25 z^{2}

\frac{1}{4} = (\frac{1}{2})^{2}

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

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

Apply Difference of Two Squares Formula:

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

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

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

\frac{x + 3}{2} + \frac{2 x - 5}{3} = \frac{1}{2}

(\frac{3}{8})^{- 2}

- 7 (x + 6) + 1 = 3 - 5 (x - 4)

\frac{8}{x + 2} \leq 4

2 k^{2} + 9 k + 7