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8_murik_8 [283]

4 years ago

10

Factor the expression.

1 answer:

g100num [7]4 years ago

6 0

Answer:

(x + 1) (3 x^2 + 1)

Step-by-step explanation:

Factor the following:

3 x^3 + 3 x^2 + x + 1

Factor terms by grouping. 3 x^3 + 3 x^2 + x + 1 = (3 x^3 + 3 x^2) + (x + 1) = 3 x^2 (x + 1) + (x + 1):

3 x^2 (x + 1) + (x + 1)

Factor x + 1 from 3 x^2 (x + 1) + (x + 1):

Answer: (x + 1) (3 x^2 + 1)

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3 years ago

Which choices are equivalent to the expression below? Check all that apply. 6√3

Westkost [7]

Answer:

case A. $\sqrt{18}*\sqrt{6}$

case B. $\sqrt{108}$

case E. $\sqrt{3}*\sqrt{36}$

Step-by-step explanation:

we have

$6\sqrt{3}$

we know that

$6\sqrt{3}=\sqrt{36*3}=\sqrt{108}$

<u>Verify each case</u>

case A) $\sqrt{18}*\sqrt{6}$

$\sqrt{18}*\sqrt{6}=\sqrt{18*6}=\sqrt{108}$

therefore

$\sqrt{18}*\sqrt{6}$ is equivalent to $6\sqrt{3}$

case B) $\sqrt{108}$

so

$\sqrt{108}$ is equivalent to $6\sqrt{3}$

case C) $\sqrt{3}*\sqrt{6}$

$\sqrt{3}*\sqrt{6}=\sqrt{18}$

therefore

$\sqrt{18}$ is not equivalent to $6\sqrt{3}$

case D) $\sqrt{54}$

so

$\sqrt{54}$ is not equivalent to $6\sqrt{3}$

case E) $\sqrt{3}*\sqrt{36}$

$\sqrt{3}*\sqrt{36}=\sqrt{108}$

therefore

$\sqrt{3}*\sqrt{36}$ is equivalent to $6\sqrt{3}$

case F) $108$

so

$108$ is not equivalent to $6\sqrt{3}$

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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