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Arithmetic Aptitude :: Algebra Problems

Algebra Problems - Section-1
  1.  (a - b)² =

    2. A.

    a² + b²
    B.

    a² - b²
    C.

    a² + 2ab + b²
    D.

    a² - 2ab + b²

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  2.  Factorise x² + x - 72

    3. A.

    (x + 8)(x - 9)
    B.

    (x - 8)(x + 9)
    C.

    (x - ?72)²
    D.

    (x - ?72)(x + ?72)

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  3.  Factorise -20x² - 9x + 20

    4. A.

    (5 - 4x)(4 - 5x)
    B.

    (5 - 4x)(4 + 5x)
    C.

    (5 + 4x)(4 - 5x)
    D.

    (5 + 4x)(4 + 5x)

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  4.  Expand and simplify (x + y)³

    5. A.

    x³ - y³
    B.

    x³ + y³
    C.

    x³ + 3xy(x - y) + y³
    D.

    x³ + 3xy(x + y) + y³

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  5.  Simplify (x - 9)(x + 10) ⁄ (x² - 81)

    6. A.

    (x + 10) ⁄ (x - 9)
    B.

    (x + 10) ⁄ (x + 9)
    C.

    (x² + x - 90) ⁄ (x² - 81)
    D.

    None of above

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