Software Development Exam > Software Development Questions > Simplify, x4−2x2+1x2−2x+1a)x2 - 2x + 1b)x2 + ...
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Simplify,
- a)x2- 2x + 1
- b)x2+ 2x + 2
- c)x2+ 2x + 1
- d)x2+ x + 1
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Simplify, x4−2x2+1x2−2x+1a)x2 - 2x + 1b)x2 + 2x + 2c)x2 + 2x + 1d)x2 +...
Formula used:
(a - b)2 = a2 + b2 - 2ab
(a2 - b2) = (a + b) × (a - b)
(a +
b)
2
= a
2
+ b
2
+
2ab
Calculation:
⇒ {(x2)2 + 1 - 2 × (x2) × 1}/(x - 1)2
⇒ (x2
- 1)2/(x - 1)2⇒ {(x + 1)2(x - 1)2}/(x - 1)2
⇒ (x + 1)
2
= x
2
+ 2x + 1
∴ The correct option is 3.
Most Upvoted Answer
Simplify, x4−2x2+1x2−2x+1a)x2 - 2x + 1b)x2 + 2x + 2c)x2 + 2x + 1d)x2 +...
Explanation:
- To simplify the given expression x^4 - 2x^2 + x^2 - 2x + 1, we can combine like terms.
Combine like terms:
- Combine the terms with the same variable and exponent:
x^4 - 2x^2 + x^2 - 2x + 1
= x^4 - 2x^2 + 1x^2 - 2x + 1
- Combine the x^2 terms:
= x^4 - x^2 - 2x + 1
- The simplified expression is x^4 - x^2 - 2x + 1, which can be further simplified to:
= x^2 + 2x + 1
Therefore, the simplified form of the expression x^4 - 2x^2 + x^2 - 2x + 1 is x^2 + 2x + 1.
- To simplify the given expression x^4 - 2x^2 + x^2 - 2x + 1, we can combine like terms.
Combine like terms:
- Combine the terms with the same variable and exponent:
x^4 - 2x^2 + x^2 - 2x + 1
= x^4 - 2x^2 + 1x^2 - 2x + 1
- Combine the x^2 terms:
= x^4 - x^2 - 2x + 1
- The simplified expression is x^4 - x^2 - 2x + 1, which can be further simplified to:
= x^2 + 2x + 1
Therefore, the simplified form of the expression x^4 - 2x^2 + x^2 - 2x + 1 is x^2 + 2x + 1.
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Question Description
Simplify, x4−2x2+1x2−2x+1a)x2 - 2x + 1b)x2 + 2x + 2c)x2 + 2x + 1d)x2 + x + 1Correct answer is option 'C'. Can you explain this answer? for Software Development 2025 is part of Software Development preparation. The Question and answers have been prepared according to the Software Development exam syllabus. Information about Simplify, x4−2x2+1x2−2x+1a)x2 - 2x + 1b)x2 + 2x + 2c)x2 + 2x + 1d)x2 + x + 1Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Software Development 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Simplify, x4−2x2+1x2−2x+1a)x2 - 2x + 1b)x2 + 2x + 2c)x2 + 2x + 1d)x2 + x + 1Correct answer is option 'C'. Can you explain this answer?.
Simplify, x4−2x2+1x2−2x+1a)x2 - 2x + 1b)x2 + 2x + 2c)x2 + 2x + 1d)x2 + x + 1Correct answer is option 'C'. Can you explain this answer? for Software Development 2025 is part of Software Development preparation. The Question and answers have been prepared according to the Software Development exam syllabus. Information about Simplify, x4−2x2+1x2−2x+1a)x2 - 2x + 1b)x2 + 2x + 2c)x2 + 2x + 1d)x2 + x + 1Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Software Development 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Simplify, x4−2x2+1x2−2x+1a)x2 - 2x + 1b)x2 + 2x + 2c)x2 + 2x + 1d)x2 + x + 1Correct answer is option 'C'. Can you explain this answer?.
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