What is factor 4x^2-49n^2 ?

The solution to factor 4x^2-49n^2 is (2x+7n)(2x-7n)

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factor 4x^2-49n^2

factor

4 x^{2} - 49 n^{2}

(2 x + 7 n) (2 x - 7 n)

Solution steps

4 x^{2} - 49 n^{2}

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

49 n^{2} = (7 n)^{2}

= (2 x)^{2} - (7 n)^{2}

Apply Difference of Two Squares Formula:

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

(2 x)^{2} - (7 n)^{2} = (2 x + 7 n) (2 x - 7 n)

= (2 x + 7 n) (2 x - 7 n)

(36 x^{16})^{\frac{1}{2}}

sin^{8} (x) - cos^{8} (x)

(x + 2)^{3} + (x - 2)^{3}

f (x) = 5 x^{5} - 3

x^{3} - 23 x^{2} + 142 x - 120