What is factor 16m^4-25m^2n^2+9n^4 ?

The solution to factor 16m^4-25m^2n^2+9n^4 is (4m+3n)(4m-3n)(m+n)(m-n)

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factor 16m^4-25m^2n^2+9n^4

factor

16 m^{4} - 25 m^{2} n^{2} + 9 n^{4}

(4 m + 3 n) (4 m - 3 n) (m + n) (m - n)

Solution steps

16 m^{4} - 25 m^{2} n^{2} + 9 n^{4}

Break the expression into groups

= (16 m^{4} - 9 m^{2} n^{2}) + (- 16 m^{2} n^{2} + 9 n^{4})

Factor out

m^{2}

from

16 m^{4} - 9 m^{2} n^{2} : m^{2} (16 m^{2} - 9 n^{2})

Factor out

- n^{2}

from

- 16 m^{2} n^{2} + 9 n^{4} : - n^{2} (16 m^{2} - 9 n^{2})

= m^{2} (16 m^{2} - 9 n^{2}) - n^{2} (16 m^{2} - 9 n^{2})

Factor out common term

16 m^{2} - 9 n^{2}

= (16 m^{2} - 9 n^{2}) (m^{2} - n^{2})

Factor

16 m^{2} - 9 n^{2} : (4 m + 3 n) (4 m - 3 n)

= (4 m + 3 n) (4 m - 3 n) (m^{2} - n^{2})

Factor

m^{2} - n^{2} : (m + n) (m - n)

= (4 m + 3 n) (4 m - 3 n) (m + n) (m - n)

49 x^{16} - 16 y^{64}

21 = 2 (4 a + 2)

2 x^{2} - 3 = - 203

- 2 t - 5 < 9

5 x^{2} - 11 x + 8 = 0

What is factor 16m^4-25m^2n^2+9n^4 ?
The solution to factor 16m^4-25m^2n^2+9n^4 is (4m+3n)(4m-3n)(m+n)(m-n)