Theory

# Product

A product is the result of a multiplication. For example when multiplying the factors $2$ and $5,$ the product is $10.$ A product can also be the result of multiplying numbers and variables, only variables, or expressions. \begin{aligned} \text{Fa}&\text{ctor}& &\cdot &\text{Fa}&\text{ctor} &&= &\textbf{Pro}&\textbf{duct} \\ &3 &&\cdot &&x &&= &&3x \\ &x &&\cdot &&x &&= &&x^2 \\ (x&+1)&&\cdot&(x&+1) &&=&x^2+&2x+1 \end{aligned} The product can be the result of multiplying many factors, not just two. For example, $5\cdot x^2(x-1)=5x^3-5x^2.$