What is (ab^2(3a^2b)^2)/(3a) ?

The solution to (ab^2(3a^2b)^2)/(3a) is 3b^4a^4

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simplify (ab^2(3a^2b)^2)/(3a)

simplify

\frac{a b ^{2} ( 3 a ^{2} b ) ^{2}}{3 a}

3 b^{4} a^{4}

Solution steps

\frac{a b ^{2} ( 3 a ^{2} b ) ^{2}}{3 a}

Cancel the common factor:

a

= \frac{b ^{2} ( 3 a ^{2} b ) ^{2}}{3}

Simplify

(3 a^{2} b)^{2} : 3^{2} a^{4} b^{2}

= \frac{b ^{2} \cdot 3 ^{2} a ^{4} b ^{2}}{3}

\frac{3 ^{2}}{3} = 3

= b^{2} \cdot 3 a^{4} b^{2}

Simplify

b^{2} b^{2} : b^{4}

= b^{4} \cdot 3 a^{4}

= 3 b^{4} a^{4}

6 m - 2 (- 3 m + 8)

27 - 33

\frac{15}{10 - 3}

\frac{4 + 8}{5 - 3}

3 (\frac{x + 1}{x - 1})