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What is the product?

(negative 3 s + 2 t)(4 s minus t)

negative 12 s squared minus 2 t squared
negative 12 s squared + 2 t squared
negative 12 s squared + 8 s t minus 2 t squared
negative 12 s squared + 11 s t minus 2 t squared

Respuesta :

Answer:

D. -12s squared + 11st - 2t squared

Step-by-step explanation:

FOIL:

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

- 12s² + 3st + 8st - 2t²

Simplify.

- 12s² + 11st - 2t²

Answer:

D.Negative 12 squared +11st minus 2t squared

Step-by-step explanation:

We are given that

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

We have to find the value of product.

[tex](-3x+2t)(4s-t)[/tex]

Multiply each term of first bracket with second bracket

[tex]-3s(4s-t)+2t(4s-t)[/tex]

Now, after multiplying we get

[tex]-12s^2+3st+8st-2t^2[/tex]

Combine like terms then, we get

[tex]-12s^2+11st-2t^2[/tex]

Hence,the product

[tex](-3x+2t)(4s-t)=-12s^2+11st-2t^2[/tex]

Option D is true.

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