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Basic Algebraic Identities Of School Algebra & Elementary Surds

Total Questions : 1010 | Page 12 of 101 pages
Question 111.  factorise x² + x - 72
  1.    (x + 8)(x - 9)
  2.    (x - 8)(x + 9)
  3.    (x - ?72)²
  4.    (x - ?72)(x + ?72)
 Discuss Question
Answer: Option B. -> (x - 8)(x + 9)
Explanation :
Question 112.  (a - b)² =
  1.    a² + b²
  2.    a² - b²
  3.    a² + 2ab + b²
  4.    a² - 2ab + b²
 Discuss Question
Answer: Option D. -> a² - 2ab + b²
Explanation :
Question 113.  factorise -20x² - 9x + 20
  1.    (5 - 4x)(4 - 5x)
  2.    (5 - 4x)(4 + 5x)
  3.    (5 + 4x)(4 - 5x)
  4.    (5 + 4x)(4 + 5x)
 Discuss Question
Answer: Option C. -> (5 + 4x)(4 - 5x)
Explanation :
Question 114.  simplify (x - 9)(x + 10) ⁄ (x² - 81)
  1.    (x + 10) ⁄ (x - 9)
  2.    (x + 10) ⁄ (x + 9)
  3.    (x² + x - 90) ⁄ (x² - 81)
  4.    None of above
 Discuss Question
Answer: Option B. -> (x + 10) ⁄ (x + 9)
Explanation :
Question 115.  factorise x² + x - 72
  1.    (x + 8)(x - 9)
  2.    (x - 8)(x + 9)
  3.    (x - ?72)²
  4.    (x - ?72)(x + ?72)
 Discuss Question
Answer: Option B. -> (x - 8)(x + 9)
Explanation :
Question 116.  factorise -20x² - 9x + 20
  1.    (5 - 4x)(4 - 5x)
  2.    (5 - 4x)(4 + 5x)
  3.    (5 + 4x)(4 - 5x)
  4.    (5 + 4x)(4 + 5x)
 Discuss Question
Answer: Option C. -> (5 + 4x)(4 - 5x)
Explanation :
Question 117.  expand and simplify (x + y)³
  1.    x³ - y³
  2.    x³ + y³
  3.    x³ + 3xy(x - y) + y³
  4.    x³ + 3xy(x + y) + y³
 Discuss Question
Answer: Option D. -> x³ + 3xy(x + y) + y³
Explanation :
Question 118.  simplify (x - 9)(x + 10) ⁄ (x² - 81)
  1.    (x + 10) ⁄ (x - 9)
  2.    (x + 10) ⁄ (x + 9)
  3.    (x² + x - 90) ⁄ (x² - 81)
  4.    None of above
 Discuss Question
Answer: Option B. -> (x + 10) ⁄ (x + 9)
Explanation :
Question 119.  factorise x² + x - 72
  1.    (x + 8)(x - 9)
  2.    (x - 8)(x + 9)
  3.    (x - ?72)²
  4.    (x - ?72)(x + ?72)
 Discuss Question
Answer: Option B. -> (x - 8)(x + 9)
Explanation :
Question 120.  factorise -20x² - 9x + 20
  1.    (5 - 4x)(4 - 5x)
  2.    (5 - 4x)(4 + 5x)
  3.    (5 + 4x)(4 - 5x)
  4.    (5 + 4x)(4 + 5x)
 Discuss Question
Answer: Option C. -> (5 + 4x)(4 - 5x)
Explanation :

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