Tips and Tricks to simplify algebra problems

  1. (a + b)(a – b) = (a2 – b2)
  2. (a + b)2 = (a2 + b2 + 2ab)
  3. (a – b)2 = (a2 + b2 – 2ab)
  4. (a + b + c)2 = a2 + b2 + c2 + 2(ab + bc + ca)
  5. (a3 + b3) = (a + b)(a2 – ab + b2)
  6. (a3 – b3) = (a – b)(a2 + ab + b2)
  7. (a3 + b3 + c3 – 3abc) = (a + b + c)(a2 + b2 + c2 – ab – bc – ac)
  8. When a + b + c = 0, then a3 + b3 + c3 = 3abc
    Which one of the following is not a prime number?
    A. 31
    B. 61
    C. 71
    D. 91

    Answer: Option D

    Explanation:

    91 is divisible by 7. So, it is not a prime number.

    2

    (112 x 54) = ?
    A. 67000
    B. 70000
    C. 76500
    D. 77200

    Answer: Option B

    Explanation:

    (112 x 54) = 112 x 10 4 = 112 x 104 = 1120000 = 70000
    2 24 16
  9. It is being given that (232 + 1) is completely divisible by a whole number. Which of the following numbers is completely divisible by this number?

    What least number must be added to 1056, so that the sum is completely divisible by 23 ?

    1397 x 1397 = ?

    How many of the following numbers are divisible by 132 ? 264, 396, 462, 792, 968, 2178, 5184, 6336

    Which of the following is a prime number ?

Leave a Reply

Your email address will not be published. Required fields are marked *