Last visit was: 17 Sep 2026, 01:48 It is currently 17 Sep 2026, 01:48
Home
Messages
Tests
Schools
Events
Close
GMAT Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel
Back to Forum
Create Topic
Sub 505 (Easy)|   Algebra|      
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 17 Sep 2026
Posts: 113,607
Own Kudos:
841,789
 [2]
Given Kudos: 111,601
Products:
GMAT Club Tests
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 113,607
Kudos: 841,789
 [2]
x*(x+1)*(x+2) + x*(x+3) = ? 13 Feb 2020, 07:35
1
Kudos
Add Kudos
1
Bookmarks
Bookmark this Post
00:00
Start Timer
Pause Timer
Resume Timer
Show Answer
Hide
Show
History
A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

5% (low)

Question Stats:

90% (01:16) correct 10% (01:48) wrong based on 395 sessions

History

Date
Time
Result
Not Attempted Yet
\(x*(x+1)*(x+2)+x*(x+3) = ?\)


(A) \(x^3+4x^2+5x\)

(B) \(x^3+3x^2+2x\)

(C) \(x^3+6x^2+3x\)

(D) \(2x^3+3x^2+5x\)

(E) \(2x^2+6x+2\)
ShowHide Answer
Official Answer
A
User avatar
BrentGMATPrepNow
User avatar
Major Poster
Joined: 12 Sep 2015
Last visit: 31 Oct 2025
Posts: 6,727
Own Kudos:
37,343
 [1]
Given Kudos: 799
Location: Canada
Expert
Expert reply
Posts: 6,727
Kudos: 37,343
 [1]
x*(x+1)*(x+2) + x*(x+3) = ? 13 Feb 2020, 07:40
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
\(x*(x+1)*(x+2)+x*(x+3) = ?\)


(A) \(x^3+4x^2+5x\)

(B) \(x^3+3x^2+2x\)

(C) \(x^3+6x^2+3x\)

(D) \(2x^3+3x^2+5x\)

(E) \(2x^2+6x+2\)
Show more

Given: \(x*(x+1)*(x+2)+x*(x+3) \)
Expand to get: \(x^3+3x^2+2x+x^2 + 3x\)
Combine like terms to get: \(x^3+4x^2+5x\)

Answer: A

Cheers,
Brent
User avatar
cathygeorge123
User avatar
Joined: 28 May 2014
Last visit: 14 Apr 2022
Posts: 61
Own Kudos:
70
 [2]
Given Kudos: 164
Location: Singapore
Concentration: Strategy
Schools: INSEAD Jan'21 Intake
GMAT 1: 590 Q44 V27
Products:
My Reviews
Schools: INSEAD Jan'21 Intake
GMAT 1: 590 Q44 V27
Posts: 61
Kudos: 70
 [2]
x*(x+1)*(x+2) + x*(x+3) = ? 13 Feb 2020, 08:20
2
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
\(x*(x+1)*(x+2)+x*(x+3) = ?\)


(A) \(x^3+4x^2+5x\)

(B) \(x^3+3x^2+2x\)

(C) \(x^3+6x^2+3x\)

(D) \(2x^3+3x^2+5x\)

(E) \(2x^2+6x+2\)
Show more

Please refer to my attachment below:
Attachments

algebra 1.JPG
algebra 1.JPG [ 64.05 KiB | Viewed 5912 times ]

User avatar
sujoykrdatta
User avatar
Joined: 26 Jun 2014
Last visit: 23 Aug 2026
Posts: 598
Own Kudos:
1,257
 [1]
Given Kudos: 14
Status:Mentor & Coach | GMAT Q51 | CAT 99.98
GMAT 1: 750 Q51 V39
Expert
Expert reply
GMAT 1: 750 Q51 V39
Posts: 598
Kudos: 1,257
 [1]
x*(x+1)*(x+2) + x*(x+3) = ? 14 Feb 2020, 03:04
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Given: x(x+1)(x+2)+x(x+3)

Method 1: for those who hate rearranging algebraic terms :D


Let's plugin x=-1(or any other number) and calculate:
The value = 0+(-1)(2)= -2
Let's check the options: we plugin x=-1 in each and check which one gives the value as '-2':

A: -1 + 4 - 5 = -2
B: -1 + 3 - 2 = 0
C: -1 + 6 - 3 = 2
D: -2 + 3 - 5 = -4
Also, D is wrong since the coefficient of x³ should have been 1, not 2

Option E is clearly wrong because there is no x³ term at all!

Only A matches - hence is the correct option


Method 2: x(x+1)(x+2) + x(x+3)
= x(x² + 3x + 2) + x² + 3x
= x³ + 3x² + 2x + x² + 3x
= x³ + 4x² + 5x

Option A

Posted from my mobile device
User avatar
ScottTargetTestPrep
User avatar
Target Test Prep Representative
Joined: 14 Oct 2015
Last visit: 16 Sep 2026
Posts: 22,742
Own Kudos:
26,991
 [1]
Given Kudos: 302
Status:Founder & CEO
Affiliations: Target Test Prep
Location: United States (CA)
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 22,742
Kudos: 26,991
 [1]
x*(x+1)*(x+2) + x*(x+3) = ? 21 Feb 2020, 09:17
Kudos
Add Kudos
1
Bookmarks
Bookmark this Post
Bunuel
\(x*(x+1)*(x+2)+x*(x+3) = ?\)


(A) \(x^3+4x^2+5x\)

(B) \(x^3+3x^2+2x\)

(C) \(x^3+6x^2+3x\)

(D) \(2x^3+3x^2+5x\)

(E) \(2x^2+6x+2\)
Show more

Simplifying, we have:

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

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

x^3 + 4x^2 + 5x

Answer: A
User avatar
Kinshook
User avatar
Major Poster
Joined: 03 Jun 2019
Last visit: 16 Sep 2026
Posts: 6,131
Own Kudos:
6,107
Given Kudos: 164
Location: India
Schools: HBS '28 CBS '26 Wharton '26
GMAT 1: 690 Q50 V34
WE:Engineering (Transportation)
Products:
My Reviews
Schools: HBS '28 CBS '26 Wharton '26
GMAT 1: 690 Q50 V34
Posts: 6,131
Kudos: 6,107
x*(x+1)*(x+2) + x*(x+3) = ? 21 Feb 2020, 09:22
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
\(x*(x+1)*(x+2)+x*(x+3) = ?\)


(A) \(x^3+4x^2+5x\)

(B) \(x^3+3x^2+2x\)

(C) \(x^3+6x^2+3x\)

(D) \(2x^3+3x^2+5x\)

(E) \(2x^2+6x+2\)
Show more

\(x* \{ x^2 + 3x + 2 + x + 3 \} = x * \{x^2 + 4x + 5\}= x^3 + 4x^2 + 5x\)

IMO A

Posted from my mobile device
User avatar
EgmatQuantExpert
User avatar
e-GMAT Representative
Joined: 04 Jan 2015
Last visit: 02 Apr 2024
Posts: 3,651
Own Kudos:
21,441
Given Kudos: 165
Expert
Expert reply
Posts: 3,651
Kudos: 21,441
x*(x+1)*(x+2) + x*(x+3) = ? 21 Feb 2020, 10:05
Kudos
Add Kudos
Bookmarks
Bookmark this Post

Solution



To find
We need to determine
    • The simplified value of the given expression \(x * (x + 1) * (x + 2) + x * (x + 3)\)

Approach and Working out
\(x * (x + 1) * (x + 2) + x * (x + 3)\)
    \(= x [(x + 1) * (x + 2) + (x + 3)]\)
    \(= x [ x^2 + 3x + 2 + x + 3]\)
    \(= x [x^2 + 4x + 5]\)
    \(= x^3 + 4x^2 + 5x\)

Thus, option A is the correct answer.

Correct Answer: Option A
User avatar
bumpbot
User avatar
Non-Human User
Joined: 09 Sep 2013
Last visit: 04 Jan 2021
Posts: 39,227
Own Kudos:
1,160
Posts: 39,227
Kudos: 1,160
x*(x+1)*(x+2) + x*(x+3) = ? 26 Nov 2024, 19:44
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Automated notice from GMAT Club BumpBot:

A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.

This post was generated automatically.
Moderator:
Bunuel
Math Expert
113607 posts