What is (6a^8b^8-3a^6b^6-a^2b^3)/(3a^2b^3) ?

The solution to (6a^8b^8-3a^6b^6-a^2b^3)/(3a^2b^3) is (6a^6b^5-3a^4b^3-1)/3

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simplify (6a^8b^8-3a^6b^6-a^2b^3)/(3a^2b^3)

simplify

\frac{6 a ^{8} b ^{8} - 3 a ^{6} b ^{6} - a ^{2} b ^{3}}{3 a ^{2} b ^{3}}

\frac{6 a ^{6} b ^{5} - 3 a ^{4} b ^{3} - 1}{3}

Solution steps

\frac{6 a ^{8} b ^{8} - 3 a ^{6} b ^{6} - a ^{2} b ^{3}}{3 a ^{2} b ^{3}}

Factor

6 a^{8} b^{8} - 3 a^{6} b^{6} - a^{2} b^{3} : a^{2} b^{3} (6 a^{6} b^{5} - 3 a^{4} b^{3} - 1)

= \frac{a ^{2} b ^{3} ( 6 a ^{6} b ^{5} - 3 a ^{4} b ^{3} - 1 )}{3 a ^{2} b ^{3}}

Cancel the common factor:

a^{2}

= \frac{b ^{3} ( 6 a ^{6} b ^{5} - 3 a ^{4} b ^{3} - 1 )}{3 b ^{3}}

Cancel the common factor:

b^{3}

= \frac{6 a ^{6} b ^{5} - 3 a ^{4} b ^{3} - 1}{3}

(x - 3) (2 x - 4)

ln (0.0001)

(x + 2) (x - 1) (x - 4)

\frac{75}{180}

b - 3 + 6 - 2 b

What is (6a^8b^8-3a^6b^6-a^2b^3)/(3a^2b^3) ?
The solution to (6a^8b^8-3a^6b^6-a^2b^3)/(3a^2b^3) is (6a^6b^5-3a^4b^3-1)/3