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# If b and c are negative integers, then which of the following must als

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Math Expert
Joined: 02 Sep 2009
Posts: 58340
If b and c are negative integers, then which of the following must als  [#permalink]

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19 Feb 2019, 01:01
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Difficulty:

45% (medium)

Question Stats:

56% (01:22) correct 44% (01:04) wrong based on 48 sessions

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If b and c are negative integers, then which of the following must also be negative?

A. $$b^3 – c^3$$

B. $$bc^2 – c$$

C. $$bc(b – c)$$

D. $$\frac{b}{c} + \frac{c}{b}$$

E. $$b^2c + bc^2$$

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Joined: 18 Nov 2018
Posts: 26
Re: If b and c are negative integers, then which of the following must als  [#permalink]

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19 Feb 2019, 01:12
D is the answer. b and c is both negative and thereby b/c and c/b are both positive

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Joined: 31 Oct 2013
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Concentration: Accounting, Finance
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If b and c are negative integers, then which of the following must als  [#permalink]

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Updated on: 19 Feb 2019, 04:50
Bunuel wrote:
If b and c are negative integers, then which of the following must also be negative?

A. $$b^3 – c^3$$

B. $$bc^2 – c$$

C. $$bc(b – c)$$

D. $$\frac{b}{c} + \frac{c}{b}$$

E. $$b^2c + bc^2$$

$$b^2$$ = positive

c = negative

$$b^2 c$$ = negative

again ,

$$c^2$$= positive

b=negative

$$c^2b$$= negative

$$b^2c + c^2b$$ = negative + negative = negative.

Originally posted by KSBGC on 19 Feb 2019, 02:34.
Last edited by KSBGC on 19 Feb 2019, 04:50, edited 2 times in total.
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Re: If b and c are negative integers, then which of the following must als  [#permalink]

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19 Feb 2019, 04:38
Bunuel wrote:
If b and c are negative integers, then which of the following must also be negative?

A. $$b^3 – c^3$$

B. $$bc^2 – c$$

C. $$bc(b – c)$$

D. $$\frac{b}{c} + \frac{c}{b}$$

E. $$b^2c + bc^2$$

$$b^2c + bc^2$$
will always be -ve
Re: If b and c are negative integers, then which of the following must als   [#permalink] 19 Feb 2019, 04:38
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