Mathematics: Which expression is a sum of cubes? O-27ab6 +8a9b12 -9a3b6 +8810 O 9a3b6 +8a9b12 27a368 + 8a612

i dont knowStep-by-step explanation: bye sorry...

Which expression is a sum of cubes? O-27ab6 +8a9b12

Mikkixo3735

28.01.2022

$-27 a^3 b^6 + 8 a^9 b^{12}$

Step-by-step explanation:

In the picture attached, the problem is shown.

A polynomial in the form x³ + y³ is called a sum of cubes

If we take the expression:

$-27 a^3 b^6 + 8 a^9 b^{12}$

and take cubic root to each term, we get:

$x = \sqrt[3]{-27 a^3 b^6}$

$x =\sqrt[3]{-27} \sqrt[3]{a^3} \sqrt[3]{b^6}$

x = -3 a b^2

$y = \sqrt[3]{8 a^9 b^{12}}$

$y =\sqrt[3]{8} \sqrt[3]{a^9} \sqrt[3]{b^{12}}$

y =2 a^3 b^4

The other options are not sum of cubes because 9, -9, b^10 and b^8 are not a perfect cubes.

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