What is factor 4m^4-25n^2 ?

The solution to factor 4m^4-25n^2 is (2m^2+5n)(2m^2-5n)

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factor 4m^4-25n^2

factor

4 m^{4} - 25 n^{2}

(2 m^{2} + 5 n) (2 m^{2} - 5 n)

Solution steps

4 m^{4} - 25 n^{2}

4 m^{4} = (2 m^{2})^{2}

25 n^{2} = (5 n)^{2}

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

Apply Difference of Two Squares Formula:

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

(2 m^{2})^{2} - (5 n)^{2} = (2 m^{2} + 5 n) (2 m^{2} - 5 n)

= (2 m^{2} + 5 n) (2 m^{2} - 5 n)

\frac{25}{9} a^{4} - 36 b^{2}

\frac{36 a ^{5} b ^{3}}{3 a ^{2} b}

(x - 1) (x + 2)^{2} - (x - 1)^{2} (x + 2)

5 (- 9 q + 7) + 3 (5 q + 5)

\frac{a b ^{2} ( 3 a ^{2} b ) ^{2}}{3 a}

What is factor 4m^4-25n^2 ?
The solution to factor 4m^4-25n^2 is (2m^2+5n)(2m^2-5n)