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2. Add the following algebraic expressions. a) (a² + 4ab - b²) and (-5a² + ab - 3b²) b) (6y²z- 5y² + 12) and ( 4y²z - 3yz -9) c) (x³ - 4x² + 1/2x + 5), ( 2/3x² - 1/3x + 4/5) and ( -1/3x² + x + 5/2) |
| Answer» <html><body><p>a) (a² + 4ab - b²) and (-5a² + ab - 3b²)⇒ (a² + 4ab - b²) + (-5a² + ab - 3b²)⇒ a² + 4ab - b² - 5a² + ab - 3b²⇒ -4a² + <a href="https://interviewquestions.tuteehub.com/tag/5ab-1899624" style="font-weight:bold;" target="_blank" title="Click to know more about 5AB">5AB</a> - 4b²b) (6y²z- 5y² + <a href="https://interviewquestions.tuteehub.com/tag/12-269062" style="font-weight:bold;" target="_blank" title="Click to know more about 12">12</a>) and ( 4y²z - <a href="https://interviewquestions.tuteehub.com/tag/3yz-1865751" style="font-weight:bold;" target="_blank" title="Click to know more about 3YZ">3YZ</a> -<a href="https://interviewquestions.tuteehub.com/tag/9-340408" style="font-weight:bold;" target="_blank" title="Click to know more about 9">9</a>)⇒ (6y²z - 5y² + 12) + (4y²z - 3yz -9)⇒ 6y²z - 5y² + 12 + 4y²z - 3yz - 9⇒ 10y²z + 5y² - 3yz + 3c) (x³ - 4x² + 1/2x + 5), ( 2/3x² - 1/3x + <a href="https://interviewquestions.tuteehub.com/tag/4-311707" style="font-weight:bold;" target="_blank" title="Click to know more about 4">4</a>/5) and ( -1/3x² + x + 5/2) ⇒ (x³ - 4x² + 1/2x + 5) + (2/3x² - 1/3x + 4/5) + ( -1/3x² + x + 5/2)⇒ (x³ - 4x² + 1/2x + 5 + 2/3x² - 1/3x + 4/5 - 1/3x² + x + 5/2)⇒ x³ + (-4 + 2/3 - 1/3)x² + (1/2 - 1/3 + 1)x + (5 + 4/5 + 5/2)⇒ x³ - 11/3x² + 63/10</p></body></html> | |