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We can multiply the polynomials $\left(3\left(x+y\right)-5\right)\left(3\left(x+y\right)+5\right)$ 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 ($L\times L$)
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$\begin{matrix}(F\times F)\:=\:(3\left(x+y\right))(3\left(x+y\right))\\(O\times O)\:=\:(3\left(x+y\right))(5)\\(I\times I)\:=\:(-5)(3\left(x+y\right))\\(L\times L)\:=\:(-5)(5)\end{matrix}$
Learn how to solve special products problems step by step online. Solve the product (3(x+y)-5)(3(x+y)+5). We can multiply the polynomials \left(3\left(x+y\right)-5\right)\left(3\left(x+y\right)+5\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. Multiply -5 times 5.