What is factor 1/4 x^2-25/36 y^{16} ?

The solution to factor 1/4 x^2-25/36 y^{16} is (1/2 x+5/6 y^8)(1/2 x-5/6 y^8)

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factor 1/4 x^2-25/36 y^{16}

factor

\frac{1}{4} x^{2} - \frac{25}{36} y^{16}

(\frac{1}{2} x + \frac{5}{6} y^{8}) (\frac{1}{2} x - \frac{5}{6} y^{8})

Solution steps

\frac{1}{4} x^{2} - \frac{25}{36} y^{16}

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

\frac{25}{36} y^{16} = (\frac{5}{6} y^{8})^{2}

= (\frac{1}{2} x)^{2} - (\frac{5}{6} y^{8})^{2}

Apply Difference of Two Squares Formula:

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

(\frac{1}{2} x)^{2} - (\frac{5}{6} y^{8})^{2} = (\frac{1}{2} x + \frac{5}{6} y^{8}) (\frac{1}{2} x - \frac{5}{6} y^{8})

= (\frac{1}{2} x + \frac{5}{6} y^{8}) (\frac{1}{2} x - \frac{5}{6} y^{8})

(2 + i)^{3}

3 q^{3} - 3 q

18 n^{5} + 16 n^{3} - 10 n^{2}

3 x - 5 \leq 10

What is factor 1/4 x^2-25/36 y^{16} ?
The solution to factor 1/4 x^2-25/36 y^{16} is (1/2 x+5/6 y^8)(1/2 x-5/6 y^8)