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

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

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factor 49x^2-16/25

factor

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

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

Solution steps

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

49 x^{2} = (7 x)^{2}

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

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

Apply Difference of Two Squares Formula:

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

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

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

\frac{12}{27}

\frac{a ^{2}}{a ^{2}}

2 x^{- 1} \times 4 x^{2}

\frac{5}{2}

\frac{16 + 20 i}{9 + i}

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