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28 January, 08:44

125x^3+144 is a sum of cubes: True or false.

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Answers (2)
  1. 28 January, 08:53
    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
  2. 28 January, 09:13
    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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