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

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

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