ACT Exam > ACT Questions > What do we get after expanding (p + 3q - 2z)2...
Start Learning for Free
What do we get after expanding (p + 3q - 2z)2?
- a)p2 + 9q2 + 4z2 + 6pq – 12qz + 4zp
- b)p2 + 9q2 + 4z2 + 12pq + 12qz + 4zp
- c)p2 + 9q2 + 4z2 – 12pq – 12qz – 4zp
- d)p2 + 9q2 + 4z2 + 6pq – 12qz – 4zp
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
What do we get after expanding (p + 3q - 2z)2?a)p2+ 9q2+ 4z2+ 6pq &nda...
To expand the expression (p + 3q - 2z)^2, we use the formula for expanding a binomial square:
(a + b)^2 = a^2 + 2ab + b^2
In this case, a = p and b = 3q - 2z. So, we have:
(p + 3q - 2z)^2 = p^2 + 2(p)(3q - 2z) + (3q - 2z)^2
Expanding the second term:
2(p)(3q - 2z) = 6pq - 4pz
Expanding the third term:
(3q - 2z)^2 = (3q)^2 - 2(3q)(2z) + (2z)^2
= 9q^2 - 12qz + 4z^2
Putting it all together, we get:
(p + 3q - 2z)^2 = p^2 + 6pq - 4pz + 9q^2 - 12qz + 4z^2
So, the expanded expression is:
p^2 + 6pq - 4pz + 9q^2 - 12qz + 4z^2
(a + b)^2 = a^2 + 2ab + b^2
In this case, a = p and b = 3q - 2z. So, we have:
(p + 3q - 2z)^2 = p^2 + 2(p)(3q - 2z) + (3q - 2z)^2
Expanding the second term:
2(p)(3q - 2z) = 6pq - 4pz
Expanding the third term:
(3q - 2z)^2 = (3q)^2 - 2(3q)(2z) + (2z)^2
= 9q^2 - 12qz + 4z^2
Putting it all together, we get:
(p + 3q - 2z)^2 = p^2 + 6pq - 4pz + 9q^2 - 12qz + 4z^2
So, the expanded expression is:
p^2 + 6pq - 4pz + 9q^2 - 12qz + 4z^2
Free Test
FREE
| Start Free Test |
Community Answer
What do we get after expanding (p + 3q - 2z)2?a)p2+ 9q2+ 4z2+ 6pq &nda...
We know that (a+b+c)2 = a2 + b2 + c2 + 2ab + 2bc + 2ca
(p + 3q - 2z)2can also be written as (p + 3q + (-2z))2.
Here, a = p, b = 3q and c = -2z
Therefore, using that formula we get (p + 3q + (-2z))2
= p2 + (3q)2 + (-2z)2 + 2(p)(3q) + 2(3q)(-2z) + 2(-2z)(p)
= p2 + 9q2 + 4z2 + 6pq – 12qz – 4zp.
(p + 3q - 2z)2can also be written as (p + 3q + (-2z))2.
Here, a = p, b = 3q and c = -2z
Therefore, using that formula we get (p + 3q + (-2z))2
= p2 + (3q)2 + (-2z)2 + 2(p)(3q) + 2(3q)(-2z) + 2(-2z)(p)
= p2 + 9q2 + 4z2 + 6pq – 12qz – 4zp.
|
Explore Courses for ACT exam
|
|
Similar ACT Doubts
Top Courses for ACTView all
What do we get after expanding (p + 3q - 2z)2?a)p2+ 9q2+ 4z2+ 6pq – 12qz + 4zpb)p2+ 9q2+ 4z2+ 12pq + 12qz + 4zpc)p2+ 9q2+ 4z2– 12pq – 12qz – 4zpd)p2+ 9q2+ 4z2+ 6pq – 12qz – 4zpCorrect answer is option 'D'. Can you explain this answer?
Question Description
What do we get after expanding (p + 3q - 2z)2?a)p2+ 9q2+ 4z2+ 6pq – 12qz + 4zpb)p2+ 9q2+ 4z2+ 12pq + 12qz + 4zpc)p2+ 9q2+ 4z2– 12pq – 12qz – 4zpd)p2+ 9q2+ 4z2+ 6pq – 12qz – 4zpCorrect answer is option 'D'. Can you explain this answer? for ACT 2025 is part of ACT preparation. The Question and answers have been prepared according to the ACT exam syllabus. Information about What do we get after expanding (p + 3q - 2z)2?a)p2+ 9q2+ 4z2+ 6pq – 12qz + 4zpb)p2+ 9q2+ 4z2+ 12pq + 12qz + 4zpc)p2+ 9q2+ 4z2– 12pq – 12qz – 4zpd)p2+ 9q2+ 4z2+ 6pq – 12qz – 4zpCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for ACT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What do we get after expanding (p + 3q - 2z)2?a)p2+ 9q2+ 4z2+ 6pq – 12qz + 4zpb)p2+ 9q2+ 4z2+ 12pq + 12qz + 4zpc)p2+ 9q2+ 4z2– 12pq – 12qz – 4zpd)p2+ 9q2+ 4z2+ 6pq – 12qz – 4zpCorrect answer is option 'D'. Can you explain this answer?.
What do we get after expanding (p + 3q - 2z)2?a)p2+ 9q2+ 4z2+ 6pq – 12qz + 4zpb)p2+ 9q2+ 4z2+ 12pq + 12qz + 4zpc)p2+ 9q2+ 4z2– 12pq – 12qz – 4zpd)p2+ 9q2+ 4z2+ 6pq – 12qz – 4zpCorrect answer is option 'D'. Can you explain this answer? for ACT 2025 is part of ACT preparation. The Question and answers have been prepared according to the ACT exam syllabus. Information about What do we get after expanding (p + 3q - 2z)2?a)p2+ 9q2+ 4z2+ 6pq – 12qz + 4zpb)p2+ 9q2+ 4z2+ 12pq + 12qz + 4zpc)p2+ 9q2+ 4z2– 12pq – 12qz – 4zpd)p2+ 9q2+ 4z2+ 6pq – 12qz – 4zpCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for ACT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What do we get after expanding (p + 3q - 2z)2?a)p2+ 9q2+ 4z2+ 6pq – 12qz + 4zpb)p2+ 9q2+ 4z2+ 12pq + 12qz + 4zpc)p2+ 9q2+ 4z2– 12pq – 12qz – 4zpd)p2+ 9q2+ 4z2+ 6pq – 12qz – 4zpCorrect answer is option 'D'. Can you explain this answer?.
Solutions for What do we get after expanding (p + 3q - 2z)2?a)p2+ 9q2+ 4z2+ 6pq – 12qz + 4zpb)p2+ 9q2+ 4z2+ 12pq + 12qz + 4zpc)p2+ 9q2+ 4z2– 12pq – 12qz – 4zpd)p2+ 9q2+ 4z2+ 6pq – 12qz – 4zpCorrect answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for ACT.
Download more important topics, notes, lectures and mock test series for ACT Exam by signing up for free.
Here you can find the meaning of What do we get after expanding (p + 3q - 2z)2?a)p2+ 9q2+ 4z2+ 6pq – 12qz + 4zpb)p2+ 9q2+ 4z2+ 12pq + 12qz + 4zpc)p2+ 9q2+ 4z2– 12pq – 12qz – 4zpd)p2+ 9q2+ 4z2+ 6pq – 12qz – 4zpCorrect answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
What do we get after expanding (p + 3q - 2z)2?a)p2+ 9q2+ 4z2+ 6pq – 12qz + 4zpb)p2+ 9q2+ 4z2+ 12pq + 12qz + 4zpc)p2+ 9q2+ 4z2– 12pq – 12qz – 4zpd)p2+ 9q2+ 4z2+ 6pq – 12qz – 4zpCorrect answer is option 'D'. Can you explain this answer?, a detailed solution for What do we get after expanding (p + 3q - 2z)2?a)p2+ 9q2+ 4z2+ 6pq – 12qz + 4zpb)p2+ 9q2+ 4z2+ 12pq + 12qz + 4zpc)p2+ 9q2+ 4z2– 12pq – 12qz – 4zpd)p2+ 9q2+ 4z2+ 6pq – 12qz – 4zpCorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of What do we get after expanding (p + 3q - 2z)2?a)p2+ 9q2+ 4z2+ 6pq – 12qz + 4zpb)p2+ 9q2+ 4z2+ 12pq + 12qz + 4zpc)p2+ 9q2+ 4z2– 12pq – 12qz – 4zpd)p2+ 9q2+ 4z2+ 6pq – 12qz – 4zpCorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice What do we get after expanding (p + 3q - 2z)2?a)p2+ 9q2+ 4z2+ 6pq – 12qz + 4zpb)p2+ 9q2+ 4z2+ 12pq + 12qz + 4zpc)p2+ 9q2+ 4z2– 12pq – 12qz – 4zpd)p2+ 9q2+ 4z2+ 6pq – 12qz – 4zpCorrect answer is option 'D'. Can you explain this answer? tests, examples and also practice ACT tests.
|
|
Explore Courses for ACT exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup