What is factor 625x^4-81 ?

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

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factor 625x^4-81

factor

625 x^{4} - 81

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

Solution steps

625 x^{4} - 81

Apply exponent rules

= (25 x^{2})^{2} - 9^{2}

Apply Difference of Two Squares Formula:

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

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

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

Factor

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

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

8 c^{3} + 729

(y \cdot y^{\frac{1}{3}})^{\frac{3}{2}}

(7 k)^{2}

- 2 + \frac{1}{4} x \geq 3

6 \leq x \leq 10

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