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question 7 of 10 the expression below is a sum of cubes. 125x^3 + 144 a…

Question

question 7 of 10 the expression below is a sum of cubes. 125x^3 + 144 a. true b. false

Explanation:

Step1: Recall sum - of - cubes form

A sum of cubes is of the form $a^{3}+b^{3}$.

Step2: Check if 144 is a perfect cube

We know that $125x^{3}=(5x)^{3}$. But $144$ is not a perfect cube. Since $5^3 = 125$, $6^3=216$, and there is no integer $n$ such that $n^{3}=144$.

Answer:

B. False