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Mathematics
Karen Fletcher
24 June, 01:58
125x^3+144 is a sum of cubes: True or false.
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Lilia Dennis
24 June, 04:57
0
False
Step-by-step explanation:
125 is the cube of 5
x^3 is the cube of x
+ means sum
144 is not the cube of anything, its the square of 12
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Maryjane Wallace
24 June, 05:49
0
False
Step-by-step explanation:
An expression is a sum of cubes if it can be written in form of a³ + b³, where a and b can be any constant/variables.
So, this means the given expression 125x³ + 144 can only be sum of cubes if the both the terms i. e. 125x³ and 144 are perfect cubes.
125x³ = (5x) ³. This means 125x³ is a perfect cube. However, 144 is not a perfect cube.
Hence we can conclude that the expression 125x³ + 144 is not a sum of cubes. So the answer to this question if FALSE
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