What is factor x^4-v^4 ?

The solution to factor x^4-v^4 is (x^2+v^2)(x+v)(x-v)

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factor x^4-v^4

factor

x^{4} - v^{4}

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

Solution steps

x^{4} - v^{4}

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

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

= (x^{2})^{2} - (v^{2})^{2}

Apply Difference of Two Squares Formula:

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

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

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

Factor

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

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

\frac{d ^{2}}{d - c} - \frac{c ^{2}}{d - c}

2 w + 2 (2 w + 5) = 250

x^{2} - 24 x - 12 = 0

m^{2} n^{2} + ab + a n^{2} + b m^{2}

y^{2} + 2 x y - 63 x^{2}