What is factor 81x^4-256 ?

The solution to factor 81x^4-256 is (9x^2+16)(3x+4)(3x-4)

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factor 81x^4-256

factor

81 x^{4} - 256

(9 x^{2} + 16) (3 x + 4) (3 x - 4)

Solution steps

81 x^{4} - 256

Apply exponent rules

= (9 x^{2})^{2} - 1 6^{2}

Apply Difference of Two Squares Formula:

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

(9 x^{2})^{2} - 1 6^{2} = (9 x^{2} + 16) (9 x^{2} - 16)

= (9 x^{2} + 16) (9 x^{2} - 16)

Factor

9 x^{2} - 16 : (3 x + 4) (3 x - 4)

= (9 x^{2} + 16) (3 x + 4) (3 x - 4)

\frac{5 ^{1} e ^{- 5}}{1 !}

- 12 + 6 = s

x^{2} + 10 x + 8 = x

(x - 9)^{\frac{7}{2}} - 81 (x - 9)^{\frac{3}{2}}

15 + 2 x \geq - x + 33

What is factor 81x^4-256 ?
The solution to factor 81x^4-256 is (9x^2+16)(3x+4)(3x-4)