To determine whether the expression $125x^3 + 169A$ is a sum of cubes, we need to analyze the structure of the expression. A sum of cubes can be represented in the form:

$$
a^3 + b^3
$$

where $a$ and $b$ are terms.

1. **Identify the Components**:
- In the expression, $125x^3$ can be rewritten as $(5x)^3$.
- For $169A$, we can rewrite it as $(13)^2A$, but it needs to be in the cubic form as $b^3$.

2. **Structure Check**:
- For $125x^3 + 169A$ to be a sum of cubes, $169A$ would need to be expressible in the form of $b^3$ for some term $b$. However, since $169A$ is a square term multiplied by $A$ and not in the $b^3$ form, it does not fit the requirement.

### Final Answer
The statement is **False**. $125x^3 + 169A$ is not a sum of cubes.

Question

To determine whether the expression $125x^3 + 169A$ is a sum of cubes, we need to analyze the structure of the expression. A sum of cubes can be represented in the form:

$$
a^3 + b^3
$$

where $a$ and $b$ are terms.

1. **Identify the Components**:
   - In the expression, $125x^3$ can be rewritten as $(5x)^3$.
   - For $169A$, we can rewrite it as $(13)^2A$, but it needs to be in the cubic form as $b^3$.

2. **Structure Check**:
   - For $125x^3 + 169A$ to be a sum of cubes, $169A$ would need to be expressible in the form of $b^3$ for some term $b$. However, since $169A$ is a square term multiplied by $A$ and not in the $b^3$ form, it does not fit the requirement.

### Final Answer
The statement is **False**. $125x^3 + 169A$ is not a sum of cubes.

Knowee AI · Accepted Answer

To determine whether the expression $125x^3 + 169A$ is a sum of cubes, we need to analyze the structure of the expression. A sum of cubes can be represented in the form:

$$
a^3 + b^3
$$

where $a$ and $b$ are terms.

1. **Identify the Components**:
   - In the expression, $125x^3$ can be rewritten as $(5x)^3$.
   - For $169A$, we can rewrite it as $(13)^2A$, but it needs to be in the cubic form as $b^3$.

2. **Structure Check**:
   - For $125x^3 + 169A$ to be a sum of cubes, $169A$ would need to be expressible in the form of $b^3$ for some term $b$. However, since $169A$ is a square term multiplied by $A$ and not in the $b^3$ form, it does not fit the requirement.

### Final Answer
The statement is **False**. $125x^3 + 169A$ is not a sum of cubes.

The expression below is a sum of cubes.125x3 + 169A.TrueB.FalseSUBMITarrow_backPREVIOUS

Question

The expression below is a sum of cubes.

Solution

Final Answer

Similar Questions

Upgrade your grade with Knowee