What is factor a^4-625 ?

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

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factor a^4-625

factor

a^{4} - 625

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

Solution steps

a^{4} - 625

Apply exponent rules

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

Apply Difference of Two Squares Formula:

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

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

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

Factor

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

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

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

\frac{9}{8} \times \frac{7}{8}

d^{2} + 16 = 60

\frac{1}{3} - \frac{1}{1}

\frac{5}{x - 1} < 3