What is factor 625u^4-1 ?

The solution to factor 625u^4-1 is (25u^2+1)(5u+1)(5u-1)

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factor 625u^4-1

factor

625 u^{4} - 1

(25 u^{2} + 1) (5 u + 1) (5 u - 1)

Solution steps

625 u^{4} - 1

Apply exponent rules

= (25 u^{2})^{2} - 1^{2}

Apply Difference of Two Squares Formula:

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

(25 u^{2})^{2} - 1^{2} = (25 u^{2} + 1) (25 u^{2} - 1)

= (25 u^{2} + 1) (25 u^{2} - 1)

Factor

25 u^{2} - 1 : (5 u + 1) (5 u - 1)

= (25 u^{2} + 1) (5 u + 1) (5 u - 1)

3 x^{2} - \frac{c ^{2}}{25}

\frac{1}{4} \div \frac{1}{6}

(x + 3) + \frac{x + 7}{2 - x}

(a - b) \cdot (a - b)

\frac{1}{8} \cdot 24

What is factor 625u^4-1 ?
The solution to factor 625u^4-1 is (25u^2+1)(5u+1)(5u-1)