what is the product? (-3s + 2t)(4s - t) -12s² - 2t² -12s² + 2t² -12s² + 8st - 2t² -12s² + 11st - 2t²

Explanation:

Step1: Use FOIL method

[ \begin{align*} (-3s + 2t)(4s - t)&=-3s\times4s+(-3s)\times(-t)+2t\times4s+2t\times(-t)\ \end{align*} ]

Step2: Calculate each term

• Calculate (-3s\times4s=-12s^{2})
• Calculate ((-3s)\times(-t) = 3st)
• Calculate (2t\times4s=8st)
• Calculate (2t\times(-t)=-2t^{2})

Step3: Combine like - terms

[ \begin{align*} &-12s^{2}+3st + 8st-2t^{2}\ &=-12s^{2}+(3st + 8st)-2t^{2}\ &=-12s^{2}+11st-2t^{2} \end{align*} ]

Answer:

(-12s^{2}+11st - 2t^{2}) (the fourth option)