Maths-
General
Easy

Question

Which of the following is equivalent to 2 open parentheses x squared minus x close parentheses plus 3 open parentheses x squared minus x close parentheses?

  1. x to the power of 5 minus 5 x
  2. x to the power of 5 plus 5 x
  3. 5x
  4. 5 x squared

The correct answer is: x to the power of 5 minus 5 x


    ○        The concept used in this question is of additon of polynomials.
    ○        Arrange the term in the decreasing order of their power.
    ○        To add polynomials  simply add any like terms together.
    ○        Like terms are terms whose variables and exponents are the same.
    • Step by step explanation:
    ○        Given:
    The expression:   2(x2 − x) + 3(x2 − x)
    ○        Step 1:
    ○        Simplify the expression
    2(x2 − x) + 3(x2 − x)
     2x2 - 2x + 3x2 - 3x
    ○        Step 2:
    ○        Arrange the term in the decreasing order of their power
    ∴  2x2 + 3x2 - 2x - 3x
     5x2 - 5x
    Hence, the polynomial equivalent to expression 2(x2 − x) + 3(x2 − x) is
    5x2 - 5x.
    • Final Answer:
    Correct option is,
    Option A. 5x2 - 5x.

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