What is factor+245m^2n-210mn^2+45n^3 ?

The solution to factor+245m^2n-210mn^2+45n^3 is 5n(7m-3n)^2

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factor+245m^2n-210mn^2+45n^3

factor

+ 245 m^{2} n - 210 m n^{2} + 45 n^{3}

5 n (7 m - 3 n)^{2}

Solution steps

245 m^{2} n - 210 m n^{2} + 45 n^{3}

Factor out common term

5 n : 5 n (49 m^{2} - 42 mn + 9 n^{2})

= 5 n (49 m^{2} - 42 mn + 9 n^{2})

Factor

49 m^{2} - 42 mn + 9 n^{2} : (7 m - 3 n) (7 m - 3 n)

= 5 n (7 m - 3 n) (7 m - 3 n)

Apply exponent rule:

aa = a^{2}

(7 m - 3 n) (7 m - 3 n) = (7 m - 3 n)^{2}

= 5 n (7 m - 3 n)^{2}

ln (2) \times ln (2)

- - 37

lo g_{2}^{2} (4 n^{2})

\frac{3}{5} \times 3

\frac{11}{6} + \frac{1}{3}

What is factor+245m^2n-210mn^2+45n^3 ?
The solution to factor+245m^2n-210mn^2+45n^3 is 5n(7m-3n)^2