What is factor 9/25 a^2-49/36 b^2 ?

The solution to factor 9/25 a^2-49/36 b^2 is (3/5 a+7/6 b)(3/5 a-7/6 b)

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factor 9/25 a^2-49/36 b^2

factor

\frac{9}{25} a^{2} - \frac{49}{36} b^{2}

(\frac{3}{5} a + \frac{7}{6} b) (\frac{3}{5} a - \frac{7}{6} b)

Solution steps

\frac{9}{25} a^{2} - \frac{49}{36} b^{2}

\frac{9}{25} a^{2} = (\frac{3}{5} a)^{2}

\frac{49}{36} b^{2} = (\frac{7}{6} b)^{2}

= (\frac{3}{5} a)^{2} - (\frac{7}{6} b)^{2}

Apply Difference of Two Squares Formula:

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

(\frac{3}{5} a)^{2} - (\frac{7}{6} b)^{2} = (\frac{3}{5} a + \frac{7}{6} b) (\frac{3}{5} a - \frac{7}{6} b)

= (\frac{3}{5} a + \frac{7}{6} b) (\frac{3}{5} a - \frac{7}{6} b)

(x - a) (x + a)

\frac{15 - \frac{2}{x}}{\frac{x}{5} + 4}

2 \times \frac{4}{3}

(5 x^{3} - 4 x^{2} + x) (- 3 x^{2} + 6 x - 7)

\frac{6}{24} + \frac{8}{24}

What is factor 9/25 a^2-49/36 b^2 ?
The solution to factor 9/25 a^2-49/36 b^2 is (3/5 a+7/6 b)(3/5 a-7/6 b)