sharina simplified the expression ( 3(2x - 6 - x + 1)^2 - 2 + 4x ). in step 1 she simplified within the…

sharina simplified the expression ( 3(2x - 6 - x + 1)^2 - 2 + 4x ). in step 1 she simplified within the parentheses. in step 2 she expanded the exponent.\nwhich is a possible next step?\nsimplify the expression by adding and subtracting from left to right.\ncombine like terms within the parentheses.\ncombine all x - terms.\ndistribute the 3 to each term in the parentheses by multiplying.\nsharinas work\n( 3(2x - 6 - x + 1)^2 - 2 + 4x )\n1 ( 3(x - 5)^2 - 2 + 4x )\n2 ( 3(x^2 - 10x + 25)-2 + 4x )\n3\n4

sharina simplified the expression ( 3(2x - 6 - x + 1)^2 - 2 + 4x ). in step 1 she simplified within the parentheses. in step 2 she expanded the exponent.\nwhich is a possible next step?\nsimplify the expression by adding and subtracting from left to right.\ncombine like terms within the parentheses.\ncombine all x - terms.\ndistribute the 3 to each term in the parentheses by multiplying.\nsharinas work\n( 3(2x - 6 - x + 1)^2 - 2 + 4x )\n1 ( 3(x - 5)^2 - 2 + 4x )\n2 ( 3(x^2 - 10x + 25)-2 + 4x )\n3\n4

Answer

Explanation:

Step1: Analyze the options

  • Option 1: Simplifying by adding and subtracting from left - to - right is not the correct order of operations at this stage.
  • Option 2: The terms within the parentheses were already combined in Step 1.
  • Option 3: There are non - (x) terms (constants) that also need to be considered, and combining all (x) - terms is not the immediate next step.
  • Option 4: After expanding ((x - 5)^2=x^{2}-10x + 25) in Step 2, the next step according to the order of operations (PEMDAS: Parentheses, Exponents, Multiplication and Division, Addition and Subtraction) is to distribute the 3 to each term inside the parentheses.

Answer:

Distribute the 3 to each term in the parentheses by multiplying.