What is (4ab)/(4a^4b-4a^3) ?

The solution to (4ab)/(4a^4b-4a^3) is b/(a^2(ab-1))

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simplify (4ab)/(4a^4b-4a^3)

simplify

\frac{4 ab}{4 a ^{4} b - 4 a ^{3}}

\frac{b}{a ^{2} ( ab - 1 )}

Solution steps

\frac{4 ab}{4 a ^{4} b - 4 a ^{3}}

Factor

4 a^{4} b - 4 a^{3} : 4 a^{3} (ab - 1)

= \frac{4 ab}{4 a ^{3} ( ab - 1 )}

Cancel the common factor:

4

= \frac{ab}{a ^{3} ( ab - 1 )}

Apply exponent rule:

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

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

= \frac{ab}{a a ^{2} ( ab - 1 )}

Cancel the common factor:

a

= \frac{b}{a ^{2} ( ab - 1 )}

23 - 9

x^{2} + 11 x + 28

28 x^{5} y^{3}

4 - 24

1 \frac{1}{2} \div 1 \frac{3}{10}

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