CA Foundation Exam > CA Foundation Questions > The simplified value of 16a-3y2x 8-1a3y-2isa)...
Start Learning for Free
The simplified value of 16a-3y2 x 8-1a3y-2 is
- a)2xy
- b)xy/2
- c)2
- d)none of these
Correct answer is option 'C'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
The simplified value of 16a-3y2x 8-1a3y-2isa)2xyb)xy/2c)2d)none of the...
16a-3y2 x 8-1a3y-2
16/8 a-3+3 y-2+2
2
16/8 a-3+3 y-2+2
2
Most Upvoted Answer
The simplified value of 16a-3y2x 8-1a3y-2isa)2xyb)xy/2c)2d)none of the...
Given expression: 16x - 3y^2x + 8 - 1x^3y^-2
To simplify the expression, we need to combine the like terms. Like terms are those who have the same variables raised to the same powers.
Step-by-step solution:
16x - 3y^2x + 8 - 1x^3y^-2
= 16x - 3xy^2 + 8 - x^3y^-2 (Rearranging the terms)
Now, we have two pairs of like terms, i.e., 16x and -3xy^2, and 8 and -x^3y^-2. We can combine these terms.
= (16x - 3xy^2) + (8 - x^3y^-2) (Grouping the like terms)
= x(16 - 3y^2) + (8 - x^3y^-2) (Taking out the common factor x from the first group)
= 2(x(8 - 3y^2) + (4 - x^3y^-2)) (Taking out the common factor 2 from both groups)
= 2(x(8 - 3y^2) + (4 - (1/y^2)x^3)) (Rewriting y^-2 as 1/y^2)
= 2(x(8 - 3y^2) + (4 - (x^3/y^2))) (Multiplying numerator and denominator of the second term by y^2)
= 2(x(8 - 3y^2) + (4y^2 - x^3)/y^2) (Combining the fractions in the second term)
Therefore, the simplified value of the expression is 2(x(8 - 3y^2) + (4y^2 - x^3)/y^2), which is option C.
Hence, the correct answer is option C.
To simplify the expression, we need to combine the like terms. Like terms are those who have the same variables raised to the same powers.
Step-by-step solution:
16x - 3y^2x + 8 - 1x^3y^-2
= 16x - 3xy^2 + 8 - x^3y^-2 (Rearranging the terms)
Now, we have two pairs of like terms, i.e., 16x and -3xy^2, and 8 and -x^3y^-2. We can combine these terms.
= (16x - 3xy^2) + (8 - x^3y^-2) (Grouping the like terms)
= x(16 - 3y^2) + (8 - x^3y^-2) (Taking out the common factor x from the first group)
= 2(x(8 - 3y^2) + (4 - x^3y^-2)) (Taking out the common factor 2 from both groups)
= 2(x(8 - 3y^2) + (4 - (1/y^2)x^3)) (Rewriting y^-2 as 1/y^2)
= 2(x(8 - 3y^2) + (4 - (x^3/y^2))) (Multiplying numerator and denominator of the second term by y^2)
= 2(x(8 - 3y^2) + (4y^2 - x^3)/y^2) (Combining the fractions in the second term)
Therefore, the simplified value of the expression is 2(x(8 - 3y^2) + (4y^2 - x^3)/y^2), which is option C.
Hence, the correct answer is option C.
Free Test
FREE
| Start Free Test |
Community Answer
The simplified value of 16a-3y2x 8-1a3y-2isa)2xyb)xy/2c)2d)none of the...
16x
-3
y
2
* 8
-1
x
3
y
-2
2^4 x^-3* (2^3)^-1 x ^3 y^-2
2^4 x^-3 * 2^-3 x^3 y^-2 we should use the law [a^m*a^n=a^m+n ]
2^-3+4 x^-3+3 y^-2+2 = 2^1 x^0 y^0=2*1*1=2
Attention CA Foundation Students!
To make sure you are not studying endlessly, EduRev has designed CA Foundation study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in CA Foundation.
|
Explore Courses for CA Foundation exam
|
|
Similar CA Foundation Doubts
Top Courses for CA FoundationView all
The simplified value of 16a-3y2x 8-1a3y-2isa)2xyb)xy/2c)2d)none of theseCorrect answer is option 'C'. Can you explain this answer?
Question Description
The simplified value of 16a-3y2x 8-1a3y-2isa)2xyb)xy/2c)2d)none of theseCorrect answer is option 'C'. Can you explain this answer? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about The simplified value of 16a-3y2x 8-1a3y-2isa)2xyb)xy/2c)2d)none of theseCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The simplified value of 16a-3y2x 8-1a3y-2isa)2xyb)xy/2c)2d)none of theseCorrect answer is option 'C'. Can you explain this answer?.
The simplified value of 16a-3y2x 8-1a3y-2isa)2xyb)xy/2c)2d)none of theseCorrect answer is option 'C'. Can you explain this answer? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about The simplified value of 16a-3y2x 8-1a3y-2isa)2xyb)xy/2c)2d)none of theseCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The simplified value of 16a-3y2x 8-1a3y-2isa)2xyb)xy/2c)2d)none of theseCorrect answer is option 'C'. Can you explain this answer?.
Solutions for The simplified value of 16a-3y2x 8-1a3y-2isa)2xyb)xy/2c)2d)none of theseCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for CA Foundation.
Download more important topics, notes, lectures and mock test series for CA Foundation Exam by signing up for free.
Here you can find the meaning of The simplified value of 16a-3y2x 8-1a3y-2isa)2xyb)xy/2c)2d)none of theseCorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
The simplified value of 16a-3y2x 8-1a3y-2isa)2xyb)xy/2c)2d)none of theseCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for The simplified value of 16a-3y2x 8-1a3y-2isa)2xyb)xy/2c)2d)none of theseCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of The simplified value of 16a-3y2x 8-1a3y-2isa)2xyb)xy/2c)2d)none of theseCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice The simplified value of 16a-3y2x 8-1a3y-2isa)2xyb)xy/2c)2d)none of theseCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice CA Foundation tests.
|
|
Explore Courses for CA Foundation exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup