What is factor 81a^4b^4-256 ?

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

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factor 81a^4b^4-256

factor

81 a^{4} b^{4} - 256

(9 a^{2} b^{2} + 16) (3 ab + 4) (3 ab - 4)

Solution steps

81 a^{4} b^{4} - 256

Apply exponent rules

= (9 a^{2} b^{2})^{2} - 1 6^{2}

Apply Difference of Two Squares Formula:

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

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

= (9 a^{2} b^{2} + 16) (9 a^{2} b^{2} - 16)

Factor

9 a^{2} b^{2} - 16 : (3 ab + 4) (3 ab - 4)

= (9 a^{2} b^{2} + 16) (3 ab + 4) (3 ab - 4)

1.5 x^{4} - 3 x^{3}

4 \frac{x ^{2}}{25} y^{2} + \frac{1}{5} + \frac{y ^{2}}{16} x^{2}

(x^{4} - 2 x^{2})^{2} - 1

1863 - 220603 - 48575 k

(x + y)^{20}

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