What is factor 1/25 x^4-9/16 y^4 ?

The solution to factor 1/25 x^4-9/16 y^4 is (1/5 x^2+3/4 y^2)(1/5 x^2-3/4 y^2)

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factor 1/25 x^4-9/16 y^4

factor

\frac{1}{25} x^{4} - \frac{9}{16} y^{4}

(\frac{1}{5} x^{2} + \frac{3}{4} y^{2}) (\frac{1}{5} x^{2} - \frac{3}{4} y^{2})

Solution steps

\frac{1}{25} x^{4} - \frac{9}{16} y^{4}

\frac{1}{25} x^{4} = (\frac{1}{5} x^{2})^{2}

\frac{9}{16} y^{4} = (\frac{3}{4} y^{2})^{2}

= (\frac{1}{5} x^{2})^{2} - (\frac{3}{4} y^{2})^{2}

Apply Difference of Two Squares Formula:

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

(\frac{1}{5} x^{2})^{2} - (\frac{3}{4} y^{2})^{2} = (\frac{1}{5} x^{2} + \frac{3}{4} y^{2}) (\frac{1}{5} x^{2} - \frac{3}{4} y^{2})

= (\frac{1}{5} x^{2} + \frac{3}{4} y^{2}) (\frac{1}{5} x^{2} - \frac{3}{4} y^{2})

(x^{3} + 4)^{2} + ln ((2 x)^{x})

(x + 1) (2 x + 3)

(- \frac{1}{2})^{0}

(4 x - 3)^{3}

What is factor 1/25 x^4-9/16 y^4 ?
The solution to factor 1/25 x^4-9/16 y^4 is (1/5 x^2+3/4 y^2)(1/5 x^2-3/4 y^2)