What is factor x^2-y^2+4x^2n-4y^2n ?

The solution to factor x^2-y^2+4x^2n-4y^2n is (1+4n)(x+y)(x-y)

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factor x^2-y^2+4x^2n-4y^2n

factor

x^{2} - y^{2} + 4 x^{2} n - 4 y^{2} n

(1 + 4 n) (x + y) (x - y)

Solution steps

x^{2} - y^{2} + 4 x^{2} n - 4 y^{2} n

Factor out common term

x^{2}

= x^{2} (1 + 4 n) - y^{2} - 4 y^{2} n

Factor out common term

y^{2}

= x^{2} (1 + 4 n) - y^{2} (1 + 4 n)

Factor out common term

(1 + 4 n)

= (1 + 4 n) (x^{2} - y^{2})

Factor

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

= (4 n + 1) (x + y) (x - y)

[1120]

- 5 x^{2} + 13 - 6

10 x^{2} - 29 + 10

32 x y + 40 b x - 12 a y - 15 ab

z^{2} - 9 + 14

What is factor x^2-y^2+4x^2n-4y^2n ?
The solution to factor x^2-y^2+4x^2n-4y^2n is (1+4n)(x+y)(x-y)