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Which of the following is equivalent to (2^3)(3^4)(7) + (2^2)(3^5)(5)

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Which of the following is equivalent to (2^3)(3^4)(7) + (2^2)(3^5)(5)  [#permalink]

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New post Updated on: 02 Nov 2018, 03:42
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Which of the following is equivalent to \((2^3)(3^4)(7) + (2^2)(3^5)(5) + (2^4)(3^3)(11)\)?


(A) \((2^2)(3^3)[(2)(3)(7) + (3^2)(5) + (2^2)(11)]\)

(B) \((2^2)(3^4)[7 + (3)(5) + 11]\)

(C) \((2)(3)[7 + 5 + 11]\)

(D) \((2)(3^3)[(2)(3)(7) + (3^2)(5) + (2^2)(11)]\)

(E) \((2)(3^4)[7 + (2)(3)(5) + 11]\)

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Originally posted by pushpitkc on 02 Nov 2018, 03:40.
Last edited by Bunuel on 02 Nov 2018, 03:42, edited 1 time in total.
Renamed the topic and edited the question.
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Re: Which of the following is equivalent to (2^3)(3^4)(7) + (2^2)(3^5)(5)  [#permalink]

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New post 02 Nov 2018, 04:04
pushpitkc wrote:
Which of the following is equivalent to \((2^3)(3^4)(7) + (2^2)(3^5)(5) + (2^4)(3^3)(11)\)?


(A) \((2^2)(3^3)[(2)(3)(7) + (3^2)(5) + (2^2)(11)]\)

(B) \((2^2)(3^4)[7 + (3)(5) + 11]\)

(C) \((2)(3)[7 + 5 + 11]\)

(D) \((2)(3^3)[(2)(3)(7) + (3^2)(5) + (2^2)(11)]\)

(E) \((2)(3^4)[7 + (2)(3)(5) + 11]\)


\((2^3)(3^4)(7) + (2^2)(3^5)(5) + (2^4)(3^3)(11)\) ..... if we take out the common term \((2^2)(3^3)\) from each expression we get A: \((2^2)(3^3)[(2)(3)(7) + (3^2)(5) + (2^2)(11)]\) ..... Ans A
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Re: Which of the following is equivalent to (2^3)(3^4)(7) + (2^2)(3^5)(5)  [#permalink]

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New post 03 Nov 2018, 16:59
pushpitkc wrote:
Which of the following is equivalent to \((2^3)(3^4)(7) + (2^2)(3^5)(5) + (2^4)(3^3)(11)\)?


(A) \((2^2)(3^3)[(2)(3)(7) + (3^2)(5) + (2^2)(11)]\)

(B) \((2^2)(3^4)[7 + (3)(5) + 11]\)

(C) \((2)(3)[7 + 5 + 11]\)

(D) \((2)(3^3)[(2)(3)(7) + (3^2)(5) + (2^2)(11)]\)

(E) \((2)(3^4)[7 + (2)(3)(5) + 11]\)


The factors that are common to all three terms are 2^2 and 3^3. Factoring them out, we have:

(2^2)(3^3)[2 x 3 x 7 + 3^2 x 5 + 2^2 x 11]

Answer: A
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Re: Which of the following is equivalent to (2^3)(3^4)(7) + (2^2)(3^5)(5) &nbs [#permalink] 03 Nov 2018, 16:59
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