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We can multiply the polynomials $\left(5x^4y+4z\right)\left(-4z+5x^4y\right)$ 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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$\begin{matrix}(F\times F)\:=\:(5x^4y)(5x^4y)\\(O\times O)\:=\:(5x^4y)(-4z)\\(I\times I)\:=\:(4z)(5x^4y)\\(L\times L)\:=\:(4z)(-4z)\end{matrix}$
Learn how to solve special products problems step by step online. Solve the product (5x^4y+4z)(-4z+5x^4y). We can multiply the polynomials \left(5x^4y+4z\right)\left(-4z+5x^4y\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.