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Which expression is a sum of cubes?

Which expression is a sum of cubes?-example-1
User Anuj Garg
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2 Answers

3 votes

Answer:

A)
-27a^(3)b^(6) + 8a^(9)b^(12)

Step-by-step explanation:

-27 can be divided by -3 and the cube root of 8a^9 b^12 is 2a^3 b^4

User Yanirys
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4 votes

Answer:

-27a³b⁶ + 8a⁹b¹²

Step-by-step explanation:

Every term in the expression above every term is a perfect cube.

In the first term (-27a³b⁶), -27 is a perfect cube of -3 while the exponents of a and b are both divisible by three.

In the second term (8a⁹b¹²),8 is a perfect cube of 2 while the exponents of a and b are divisible by three.

If the index of a number is divisible by three to give a whole number, the result of finding the cube root is a whole number hence a perfect cube root.

User Tjanson
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