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

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

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

simplify

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

\frac{2 a ^{2} b}{a - 2 b}

Solution steps

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

Factor

3 a^{2} b - 6 a b^{2} : 3 ab (a - 2 b)

= \frac{6 a ^{3} b ^{2}}{3 ab ( a - 2 b )}

Factor the number:

6 = 3 \cdot 2

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

Cancel the common factor:

3

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

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

a^{3} = a a^{2}

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

Cancel the common factor:

a

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

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

b^{2} = bb

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

Cancel the common factor:

b

= \frac{2 a ^{2} b}{a - 2 b}

(x + 11) (x - 2)

lo g_{243} (\frac{1}{27})

x + x y

- 2 x^{2} + 3 x

\frac{3}{5} - 4

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