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Which of the following is equivalent to 3x^2 + 18x + 27?

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Joined: 02 Sep 2009
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Which of the following is equivalent to 3x^2 + 18x + 27?  [#permalink]

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14 Jan 2019, 03:09
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Difficulty:

15% (low)

Question Stats:

88% (00:45) correct 12% (01:05) wrong based on 30 sessions

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Which of the following is equivalent to $$3x^2 + 18x + 27$$?

A. $$3(x^2 + 6x + 3)$$

B. $$3(x + 3)(x + 6)$$

C. $$3(x + 3)(x + 3)$$

D. $$3x(x + 6 + 9)$$

E. $$3x^2 + x(18 + 27)$$

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Re: Which of the following is equivalent to 3x^2 + 18x + 27?  [#permalink]

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14 Jan 2019, 03:20
Bunuel wrote:
Which of the following is equivalent to $$3x^2 + 18x + 27$$?

A. $$3(x^2 + 6x + 3)$$

B. $$3(x + 3)(x + 6)$$

C. $$3(x + 3)(x + 3)$$

D. $$3x(x + 6 + 9)$$

E. $$3x^2 + x(18 + 27)$$

$$3x^2 + 18x + 27$$

=$$3 ( x^2 + 6x + 9)$$

=$$3 ( x^2 + 2.3x + 3^2)$$

= $$3 (x+3)^2$$

= 3(x + 3) ( x + 3)

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Which of the following is equivalent to 3x^2 + 18x + 27?  [#permalink]

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14 Jan 2019, 04:08
$$3x^2+18x+27$$

$$=3(x^2+6x+9)$$

$$=3(x^2+2(3x)+3^2)$$

$$= 3(x+3)^2$$

= 3(x + 3)( x + 3)

OPTION: C
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Which of the following is equivalent to 3x^2 + 18x + 27?   [#permalink] 14 Jan 2019, 04:08
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