Respuesta :

(-3s + 2t)(4s - t).

We use the first term of the first bracket to multiply all of the second bracket and use the second term of the first bracket to multiply all of second bracket again

-3s(4s - t) + 2t(4s - t)

= -12s² + 3st + 8st - 2t²

= -12s² +11st - 2t²

The product (–3s + 2t)(4s – t) is -12s^2 + 11st - 2t^2

How to determine the product?

The expression is given as:

(–3s + 2t)(4s – t)

Open the brackets

-3s * 4s - 3s * -t + 2t * 4s + 2t * -t

Evaluate the product

-12s^2 + 3st + 8st - 2t^2

Evaluate the like terms

-12s^2 + 11st - 2t^2

Hence, the product (–3s + 2t)(4s – t) is -12s^2 + 11st - 2t^2

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