Mathematical Manipulations | MCQs
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A. (2x - 1)(x - 3)
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B. (2x + 1)(x - 1)
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C. None of these
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D. (3x - 1)(x - 2)
Explanation
Let's factorize 2x^2 - 7x + 3. We need to find two numbers that multiply to 2 × 3 = 6 and add to -7. These numbers are -6 and -1.
So, 2x^2 - 7x + 3 = 2x^2 - 6x - x + 3
= 2x(x - 3) - 1(x - 3)
= (2x - 1)(x - 3)
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A. (x - 3)(x² − 3x + 9)
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B. None of these
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C. (x + 3)(x² − 3x − 9)
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D. (x + 3)(x² − 3x + 9)
Explanation
The expression x³ + 27 can be factored using the sum of cubes formula:
x³ + 27 = x³ + 3³
= (x + 3)(x² - 3x + 9)
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A. (a + b) (a-b)(a-b)
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B. (a + b)³ - 3ab (a+b)
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C. (a + b)³ - ab(a+b)
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D. None of these
Explanation
a³ + b³ = (a + b)(a² - ab + b²) = (a + b)³ - 3ab(a + b)
✅ Correct: 0 |
❌ Wrong: 0 |
📊 Total Attempted: 0
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