Testbook Logo
Exams SuperCoaching Test Series Skill Academy
More

Question

Download Solution PDF

Write the expanded form of (7a + 9b + 6c)2

This question was previously asked in
OSSC Excise SI (Mains) Official Paper (Held On: 17 Oct, 2024 Shift 1)
Download PDF Attempt Online
View all OSSC Excise SI Papers >
  1. 49a² + 81b² + 36c² + 126ab + 108bc + 94ac
  2. 49a² + 81b² + 36c² + 130ab + 108bc + 84ac
  3. 49a² + 81b² + 36c² + 126ab + 103bc + 84ac
  4. 49a² + 81b² + 36c² + 126ab + 108bc + 84ac

Answer (Detailed Solution Below)

Option 4 : 49a² + 81b² + 36c² + 126ab + 108bc + 84ac

Detailed Solution

Download Solution PDF

Given:

Expression: (7a + 9b + 6c)2

Formula used:

(x + y + z)2 = x2 + y2 + z2 + 2xy + 2xz + 2yz

Calculation:

Let x = 7a, y = 9b, z = 6c

(7a + 9b + 6c)2 = (7a)2 + (9b)2 + (6c)2 + 2(7a)(9b) + 2(7a)(6c) + 2(9b)(6c)

⇒ (7a + 9b + 6c)2 = 49a2 + 81b2 + 36c2 + 126ab + 84ac + 108bc

Expanded form:

49a2 + 81b2 + 36c2 + 126ab + 84ac + 108bc

Download Solution PDF
Latest OSSC Excise SI Updates

Last updated on Feb 8, 2025

-> OSSC Excise SI PET/PMT Merit List has been released on the official website. The test was conducted on 4th and 5th February 2025. 

-> OSSC Excise SI 2024 Notification has been released for 10 vacancies.

-> The selection process includes Written Examination, PMT and PET, and Certificate Verification.

‹‹ Previous Ques
Next Ques ››

More Identities Questions

Q1.Write the expanded form of \((5a+4b+3c)^2.\)
Q2.Write the expanded form of (7a + 9b + 6c)2
Q3.If X + Y = 23 and XY = 126; what is the value of (X)² + (Y)² = ?
Q4.If \(\sqrt{(a)^b}=a^2+5b\), then possible value of a & b will be _____.
Q5.If a2 + b2 = 130 and ab = 63, then (a + b)2 is ____
Q6.(1502)2 - (1498)2 = ?
Q7.If a - b = 3 and a2 + b2 = 29, find the value of ab. 
Q8.If x - y = 1, then what is the value of x3 - y3 - 3xy?
Q9.If a + b = 11 and a - b = 5, then calculate the value of a2 - b2?
Q10.If a + b = 5 and a - b = \(\sqrt{17}\), then ab = ________.

More Algebra Questions

Q1.In the equation \(3x^2−12x+b=0\) with equal roots, if the positions of b and 12 are interchanged, then the roots of the new equation are ____.
Q2.Write the expanded form of \((5a+4b+3c)^2.\)
Q3.A bag contains a total of 40 coins. Among them Rs. 5 and Rs. 10 coins and all together make the total amount Rs. 310. What is the difference between the denomination of all Rs. 10 coins and the denomination of all Rs. 5 coins?
Q4.If abc = 1, then \( \rm \frac{1}{1+a+b^{-1}}+\frac{1}{1+b+c^{-1}}+\frac{1}{1+c+a^{-1}}\)
Q5.If both the roots of the quadratic equation (2p + 1) x2 + (3p + 2)x + (p+1) = 0 and (6p + 1)x2 + 9px + 3p - 1 = 0 are common, then what is the value of p2 +3p-1?
Q6.Write the expanded form of (7a + 9b + 6c)2
Q7. A student got twice as many sums wrong as he got right. If he attempted 48 sums in all, how many sums did he solve correctly?
Q8. A man has Rs . 960 in denominations of one rupee coins , five rupee coins and ten rupee coins . The number of coins in each denomination is equal . What is the total number of coins
Q9.If \(\sqrt{(a)^b}=a^2+5b\), then possible value of a & b will be _____.
Q10.If a2 + b2 = 130 and ab = 63, then (a + b)2 is ____
Suggested Test Series
View All >
OSSC Traffic and Excise Police SI Mock Test Series 2024
71 Total Tests with 1 Free Tests
Start Free Test
Odisha Fireman Mock Test 2023
231 Total Tests with   1 Free Tests
Start Free Test

More Quantitative Aptitude Questions

Q1.Perimeter of a rectangular field is equal to the perimeter of a triangular field whose sides are in the ratio 3:2:4 respectively. lf area of rectangular field is 500 m2 and sides are in the ratio 5:4 respectively, then calculate the longer side of the triangular field.
Q2.A cistern has an inlet pipe and an outlet pipe. Inlet pipe can fill three-fourth of the cistern in 24 minutes while outlet pipe can empty the one-third filled cistern in 16 minutes. If both the pipes are opened together, then the cistern will be completely filled in-
Q3.In a family, three sons were born for every 3 years one after the other. If the ratio of present ages of father and the eldest son is 15:7 and the average of the present ages of the 3 sons is 18 years. What will be the ratio of the ages of the father and the youngest son after 5 years?
Q4.Train A of length 80m while moving crosses a pole in 16 seconds. lf it is known that the lengths of train B and train A is in the ratio of 3:1, then how long would it take train B to cross a platform which is half the length of train A if the speed of train B is same as that of train A?
Q5.Can A and Can B contain a mixture of soda and water in the ratio of 5 : 3 and 7 : 2 respectively If soda and water are taken out in the ratio of P : Q from can A and B respectively to form a new mixture in which the ratio of soda and water is 12 : 5 respectively, then find the value Of P:Q?
Q6.A boat can covers a certain distance in upstream and same distance in downstream in total of 7 hours 48 minutes, If upstream speed of the boat is 62.5%. of downstream speed of the boat and speed of the stream is 3 km/h, what is the total distance covered by the boat?
Q7.M and R went for shopping and bought two sarees each at different cost. Cost price of saree bought by R is Rs.250 more than the cost price of saree bought by M. Shopkeeper earned a profit of 20% on selling both the sarees together to R and M which he bought them at total Rs.6000. At what cost did M buy saree?
Q8.There are three numbers m, n, and p, such that sum of m and n is 144, sum of thrice of n and five times of p is 464, and sum of p and m is 160, then what is the value of p?
Q9.While calculating average marks of 60 students, the two digits of original marks of a student are written reversed and thereby average of marks is increased by 0.6 Find the difference between the two digits of marks of the student?  
Q10.Simple interest received on a certain sum at a rate of simple interest of 5% for 2 years is Rs.780. If the rate of interest remains same, what will be the total amount at the time of withdrawal at the end of 5 years.  
Important Exams
Super Coaching
Exams
Test Series
Previous Year Papers
Books
Objective Questions
Testbook Products & Resources for Students
Testbook USA
Testbook Edu Solutions Pvt. Ltd.
1st & 2nd Floor, Zion Building,
Plot No. 273, Sector 10, Kharghar,
Navi Mumbai - 410210
[email protected]
Toll Free:1800 833 0800
Office Hours: 10 AM to 7 PM (all 7 days)
Company
About usCareers We are hiringTeach Online on TestbookPartnersMediaSitemap
Products
Test SeriesTestbook PassOnline CoursesOnline VideosPracticeBlogRefer & EarnBooks
Our Apps
Follow us on
Copyright © 2014-2022 Testbook Edu Solutions Pvt. Ltd.: All rights reserved
User PolicyTermsPrivacy
Get Free Access Now
Hot Links： teen patti rich teen patti gold downloadable content teen patti win