What is (6a^3b^3-9a^2b^2+3ab^4)/(3ab^2) ?

The solution to (6a^3b^3-9a^2b^2+3ab^4)/(3ab^2) is 2a^2b-3a+b^2

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simplify (6a^3b^3-9a^2b^2+3ab^4)/(3ab^2)

simplify

\frac{6 a ^{3} b ^{3} - 9 a ^{2} b ^{2} + 3 a b ^{4}}{3 a b ^{2}}

2 a^{2} b - 3 a + b^{2}

Solution steps

\frac{6 a ^{3} b ^{3} - 9 a ^{2} b ^{2} + 3 a b ^{4}}{3 a b ^{2}}

Factor

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

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

Cancel the common factor:

3

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

Cancel the common factor:

a

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

Cancel the common factor:

b^{2}

= 2 a^{2} b - 3 a + b^{2}

x + 10 = x^{2} + x + 1

(x + h)^{- 2}

4 x^{2} - 6 x

2 - 8 x^{2}

\frac{10 !}{( 10 - 2 ) !}

What is (6a^3b^3-9a^2b^2+3ab^4)/(3ab^2) ?
The solution to (6a^3b^3-9a^2b^2+3ab^4)/(3ab^2) is 2a^2b-3a+b^2