Question

Which statements are true about the fully simplified product of (b minus 2 c)(negative 3 b + c)? Select two options.

Answer 1

Answer:

The simplified product has 2 terms.

The simplified product, in standard form, has exactly 2 negative terms.

Step-by-step explanation:

(b-2c)(-3b+c)

distribute and you will get

-3b^2+bc+6bc-2c^2

combine like terms

-3b^2+7bc-2c^2

Answer 2

Answer: The correct options are:

C) The simplified product has a degree of 2.

E) The simplified product, in standard form, has exactly 2 negative terms.

Step-by-step explanation:

Consider the provided information.

$(b-2c)(-3 b + c)$

Now we need to simplify the above expression as shown.

$b(-3b+c)-2c(-3 b + c)$

$-3b^2+bc+6bc-2c^2$

Add the like terms as shown.

$-3b^2+7bc-2c^2$

The above simplified form has 3 terms with a degree of 2.

Also the product has exactly 2 negative terms.

Hence, the correct options are:

C) The simplified product has a degree of 2.

E) The simplified product, in standard form, has exactly 2 negative terms.