Final Answer
Step-by-step Solution
Specify the solving method
We can multiply the polynomials $\left(x^3+8x^2+16x\right)\left(x+4\right)$ 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.
$\begin{matrix}(F\times F)\:=\:(x^3)(x)\\(O\times O)\:=\:(x^3)(4)\\(I\times I)\:=\:(8x^2+16x)(x)\\(L\times L)\:=\:(8x^2+16x)(4)\end{matrix}$
Learn how to solve special products problems step by step online. Expand the expression (x^3+8x^216x)(x+4). We can multiply the polynomials \left(x^3+8x^2+16x\right)\left(x+4\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. When multiplying exponents with same base you can add the exponents: x^3x.