What is factor 625x^4-256 ?

The solution to factor 625x^4-256 is (25x^2+16)(5x+4)(5x-4)

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factor 625x^4-256

factor

625 x^{4} - 256

(25 x^{2} + 16) (5 x + 4) (5 x - 4)

Solution steps

625 x^{4} - 256

Apply exponent rules

= (25 x^{2})^{2} - 1 6^{2}

Apply Difference of Two Squares Formula:

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

(25 x^{2})^{2} - 1 6^{2} = (25 x^{2} + 16) (25 x^{2} - 16)

= (25 x^{2} + 16) (25 x^{2} - 16)

Factor

25 x^{2} - 16 : (5 x + 4) (5 x - 4)

= (25 x^{2} + 16) (5 x + 4) (5 x - 4)

∣ x + 3 ∣ > ∣ x - 2 ∣

\frac{1}{2} + \frac{1}{3} + \frac{1}{4}

x^{2} - 49 = 48 x

\frac{3 6 + 5 2}{4 6 - 3 2}

3 (4 + 12 x) - 6 (2 x + 3) = 36 + 2 (3 x + 2)

What is factor 625x^4-256 ?
The solution to factor 625x^4-256 is (25x^2+16)(5x+4)(5x-4)