What is factor 81a^4-625 ?

The solution to factor 81a^4-625 is (9a^2+25)(3a+5)(3a-5)

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factor 81a^4-625

factor

81 a^{4} - 625

(9 a^{2} + 25) (3 a + 5) (3 a - 5)

Solution steps

81 a^{4} - 625

Apply exponent rules

= (9 a^{2})^{2} - 2 5^{2}

Apply Difference of Two Squares Formula:

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

(9 a^{2})^{2} - 2 5^{2} = (9 a^{2} + 25) (9 a^{2} - 25)

= (9 a^{2} + 25) (9 a^{2} - 25)

Factor

9 a^{2} - 25 : (3 a + 5) (3 a - 5)

= (9 a^{2} + 25) (3 a + 5) (3 a - 5)

\frac{x ^{2} + 4 x - 21}{x - 3}

(d - 9) - (3 d - 1)

\frac{345 π}{180}

2 π - \frac{3}{4} π

(3 x - 2) (5 x + 4)

What is factor 81a^4-625 ?
The solution to factor 81a^4-625 is (9a^2+25)(3a+5)(3a-5)