What is factor 25/16 x^2-49 ?

The solution to factor 25/16 x^2-49 is (5/4 x+7)(5/4 x-7)

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factor 25/16 x^2-49

factor

\frac{25}{16} x^{2} - 49

(\frac{5}{4} x + 7) (\frac{5}{4} x - 7)

Solution steps

\frac{25}{16} x^{2} - 49

\frac{25}{16} x^{2} = (\frac{5}{4} x)^{2}

49 = 7^{2}

= (\frac{5}{4} x)^{2} - 7^{2}

Apply Difference of Two Squares Formula:

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

(\frac{5}{4} x)^{2} - 7^{2} = (\frac{5}{4} x + 7) (\frac{5}{4} x - 7)

= (\frac{5}{4} x + 7) (\frac{5}{4} x - 7)

(1 + i) (5 - i)^{4}

(4 - x) (4 + 2 x) (4 - x)

\frac{2 - 5}{2 + 5}

(\frac{2}{7})^{5}

What is factor 25/16 x^2-49 ?
The solution to factor 25/16 x^2-49 is (5/4 x+7)(5/4 x-7)