Question

(a-x)•(a²+ax+x²)======​

Answer 1

Ответ:

(a-x)(a²+ax+x²)=a³-x³

Объяснение:

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Answer 2

To simplify the given expression $(a - x) \cdot (a^2 + ax + x^2)$, we'll use the distributive property of multiplication over addition and then combine like terms:

$$\begin{align*} &(a - x) \cdot (a^2 + ax + x^2) \\ &= a \cdot (a^2) + a \cdot (ax) + a \cdot (x^2) - x \cdot (a^2) - x \cdot (ax) - x \cdot (x^2) \\ &= a^3 + a^2x + ax^2 - a^2x - ax^2 - x^3 \\ &= a^3 - x^3. \end{align*}$$

So, $(a - x) \cdot (a^2 + ax + x^2) = a^3 - x^3$.