I am having trouble parsing the following problem:

Let $F$ be a field, $A$ an $F$-algebra with 1 (not necessarily commutative) and let $M$ be an $F$-vector space which is also an $A$-bimodule. Let $A\ltimes M$ be the vector space $A\oplus M$ equipped with the multiplication $(a,m)(a',m')=(aa',am'+ma')$. Show that $A\ltimes M\cong T\_A(M)/I$ where $T\_A(M)$ is the tensor algebra and $I$ is the two sided ideal generated by $m\otimes m'$ with $m,m'\in M$.

Any hints or ideas how to grasp this problem would be helpful.