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We can multiply the polynomials $\left(a^2b-7b\right)\left(a^2b+7b\right)$ 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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$\begin{matrix}(F\times F)\:=\:(a^2b)(a^2b)\\(O\times O)\:=\:(a^2b)(7b)\\(I\times I)\:=\:(-7b)(a^2b)\\(L\times L)\:=\:(-7b)(7b)\end{matrix}$
Learn how to solve special products problems step by step online. Solve the product (a^2b-7b)(a^2b+7b). We can multiply the polynomials \left(a^2b-7b\right)\left(a^2b+7b\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.