Question

Using the FOIL method, multiply the terms in the binomials below. Show your work in the blanks provided. Then, add any like terms and write the polynomial in standard form in the space provided. Show your work.

Answer 1

Step-by-step explanation

First:

`\begin{gathered} {}x^2\cdot5x^2 \\ 5x^4 \end{gathered}`

Outside:

`\begin{gathered} x^2(-3x) \\ -3x^3 \end{gathered}`

Inside:

`\begin{gathered} 2x(5x^2) \\ 10x^3 \end{gathered}`

Last:

`\begin{gathered} 2x(-3x) \\ -6x^2 \end{gathered}`

Answer

`\begin{gathered} 5x^4-3x^3+10x^3-6x^2 \\ 5x^4+7x^3-6x^2 \end{gathered}`