Maths-
General
Easy

Question

Which expression is equivalent to
open parentheses 2 x squared minus 4 close parentheses minus open parentheses negative 3 x squared plus 2 x minus 7 close parentheses space ?

  1. 5 x squared minus 2 x plus 3
  2. 5 x squared plus 2 x minus 3
  3. negative x squared minus 2 x minus 11
  4. negative x squared plus 2 x minus 11

hintHint:

Hint:
  • An expression is a combination of symbols used in algebra, containing one or more numbers, variables, and arithmetic operations

The correct answer is: 5 x squared minus 2 x plus 3


    Explanation:
    • We have given a expression open parentheses 2 x squared minus 4 close parentheses minus open parentheses negative 3 x squared plus 2 x minus 7 close parentheses
    • We have to simplify the given expression and find the equivalent expression among the options.
    • We will use basic mathematical operation like adding subtracting like terms and then  simplfy  it.
    Step 1 of 1:
    We have given equationopen parentheses 2 x squared minus 4 close parentheses minus open parentheses negative 3 x squared plus 2 x minus 7 close parentheses
    Firstly, we will open the brackets,
    Ie,
    2 x squared minus 4 plus 3 x squared minus 2 x plus 7
    Now we will take like terms together,
    Ie,
    2 x squared plus 3 x squared minus 2 x plus 7 minus 4
    On further simplification, we will get
    5 x squared minus 2 x plus 3
    So, Option (A) is correct.
    Final answer:
    Hence, The  equvalent  expression of open 2 x squared minus 4 close parentheses minus open parentheses negative 3 x squared plus 2 x minus 7 close parentheses text  is  end text 5 x squared minus 2 x plus 3.
    So, Option (A) is correct.

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