What is \sqrt[3]{27a^7b^3-54a^4b^4} ?

The solution to \sqrt[3]{27a^7b^3-54a^4b^4} is 3ab\sqrt[3]{a}\sqrt[3]{a^3-2b}

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simplify \sqrt[3]{27a^7b^3-54a^4b^4}

simplify

Solution steps

Factor out common term

27 a^{4} b^{3} : 27 a^{4} b^{3} (a^{3} - 2 b)

Simplify

Apply radical rule:

n

is odd

4 + 9

3 (x^{2} + 2 x - 1) + 5 (x + 3) (x - 2)

\frac{3}{4} + \frac{1}{2} + 1

lo g_{2} (0.3)

3^{2} \cdot 4^{2} \cdot 5^{2}

What is \sqrt[3]{27a^7b^3-54a^4b^4} ?
The solution to \sqrt[3]{27a^7b^3-54a^4b^4} is 3ab\sqrt[3]{a}\sqrt[3]{a^3-2b}