41.1k views
5 votes
The expression below is a sum of cubes.

125x3 + 144
A.True
B.False ...?

User Khabir
by
8.3k points

2 Answers

1 vote
The expression 125x3 + 144 is not a sum of cubes. As 144 is not a cube root of something. So the answer is B.False
User Riina
by
8.3k points
4 votes

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

User Gricel
by
8.2k points

Related questions

asked Mar 18, 2019 187k views
XxinerKYU asked Mar 18, 2019
by XxinerKYU
8.2k points
2 answers
5 votes
187k views
asked Apr 16, 2020 133k views
Asad Ali Choudhry asked Apr 16, 2020
by Asad Ali Choudhry
7.0k points
1 answer
3 votes
133k views
asked Oct 3, 2020 101k views
Kyleus asked Oct 3, 2020
by Kyleus
7.6k points
1 answer
1 vote
101k views