What is factor 81y^4-625 ?

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

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factor 81y^4-625

factor

81 y^{4} - 625

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

Solution steps

81 y^{4} - 625

Apply exponent rules

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

Apply Difference of Two Squares Formula:

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

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

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

Factor

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

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

125 x^{3} + 64 y^{3}

a (- a)^{3}

(v) \cdot (2 x^{2} + 3)^{\frac{5}{3}} \cdot (x + 5)^{\frac{- 1}{2}}

1 - \frac{\frac{3}{( x + 6 )}}{x} + \frac{9}{( x + 6 )}

(5 a^{3})^{4}

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