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الجبری اظہار اور کلیے

نویں جماعت · ریاضی · 10 سوالات

نام: ____________________   تاریخ: ____________

  1. What is (a + b) squared?

    • A 2a + 2b
    • B a² - 2ab + b²
    • C a² + 2ab + b²
    • D a² + b²
  2. What is (a - b) squared?

    • A a² - ab + b²
    • B a² - 2ab + b²
    • C a² - b²
    • D a² + 2ab + b²
  3. If a + b = 5 and ab = 6, what is a² + b²?

    • A 13
    • B 37
    • C 11
    • D 25
  4. What is the value of (101)² using a formula?

    • A 10001
    • B 10101
    • C 10201
    • D 10200
  5. The degree of the polynomial 3x⁴ + 2x² + 1 is:

    • A 1
    • B 2
    • C 4
    • D 3
  6. a² - b² is equal to:

    • A a(a - b)
    • B (a + b)²
    • C (a + b)(a - b)
    • D (a - b)²
  7. The value of (a + b)(a - b) when a = 5 and b = 3 is:

    • A 34
    • B 64
    • C 16
    • D 4
  8. Expand (x + 2)(x + 3).

    • A x² + 5x + 6
    • B 2x + 5
    • C x² + 5x + 5
    • D x² + 6
  9. The coefficient of x in 7x² + 5x - 3 is:

    • A -3
    • B 2
    • C 7
    • D 5
  10. An expression with two terms is called a:

    • A Quadratic
    • B Monomial
    • C Binomial
    • D Trinomial

جوابی کلید

1. C, 2. B, 3. A, 4. C, 5. C, 6. C, 7. C, 8. A, 9. D, 10. C

  1. (a + b)² = a² + 2ab + b².

  2. (a - b)² = a² - 2ab + b².

  3. a² + b² = (a + b)² - 2ab = 25 - 12 = 13.

  4. (100 + 1)² = 10000 + 200 + 1 = 10201.

  5. The degree is the highest power of x, which is 4.

  6. Difference of squares: a² - b² = (a + b)(a - b).

  7. a² - b² = 25 - 9 = 16.

  8. x² + 3x + 2x + 6.

  9. The term in x is 5x.

  10. A binomial has two terms.