What is factor s^4-625 ?

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

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factor s^4-625

factor

s^{4} - 625

(s^{2} + 25) (s + 5) (s - 5)

Solution steps

s^{4} - 625

Apply exponent rules

= (s^{2})^{2} - 2 5^{2}

Apply Difference of Two Squares Formula:

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

(s^{2})^{2} - 2 5^{2} = (s^{2} + 25) (s^{2} - 25)

= (s^{2} + 25) (s^{2} - 25)

Factor

s^{2} - 25 : (s + 5) (s - 5)

= (s^{2} + 25) (s + 5) (s - 5)

5 x y - 4 p y

3 x^{2} + 7 x - 6 \geq 0

\frac{\frac{1}{5} - \frac{5}{4}}{\frac{7}{2} - \frac{3}{4}}

16 g h + 24 g - 2 h - 3

s^{2} + 7 s = - 20