Final Answer
Step-by-step Solution
Specify the solving method
We can multiply the polynomials $\left(\frac{1}{5}m^2-n\right)\left(\frac{1}{5}m^2+n\right)$ by using the FOIL method. The acronym F O I L stands for multiplying the terms in each bracket in the following order: First by First ($F\times F$), Outer by Outer ($O\times O$), Inner by Inner ($I\times I$), Last by Last ($L\times L$)
Learn how to solve special products problems step by step online.
$\begin{matrix}(F\times F)\:=\:(\frac-n{5}m^2)(\frac{1}{5}m^2)\\(O\times O)\:=\:(\frac-n{5}m^2)(n)\\(I\times I)\:=\:(-n)(\frac{1}{5}m^2)\\(L\times L)\:=\:(-n)(n)\end{matrix}$
Learn how to solve special products problems step by step online. Solve the product (1/5m^2-n)(1/5m^2+n). We can multiply the polynomials \left(\frac{1}{5}m^2-n\right)\left(\frac{1}{5}m^2+n\right) by using the FOIL method. The acronym F O I L stands for multiplying the terms in each bracket in the following order: First by First (F\times F), Outer by Outer (O\times O), Inner by Inner (I\times I), Last by Last (L\times L). Then, combine the four terms in a sum. Substitute the values of the products.