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Use the distributive property to remove the parentheses.2z2−8z310Simplify your answer as much as possible.

Question

Use the distributive property to remove the parentheses.

Expression:
2z^2 - 8z + 310
Simplify your answer as much as possible.

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Solution

1. Break Down the Problem

We need to apply the distributive property to the expression 2z28z+3102z^2 - 8z + 310. In this case, we do not have parentheses directly involving a multiplication, but we can simplify the expression.

2. Relevant Concepts

The distributive property states that a(b+c)=ab+aca(b + c) = ab + ac. In this case, we will combine like terms after first observing that there are no parentheses that require distribution.

3. Analysis and Detail

Here, we are simply looking to combine terms:

  1. Identify each term:

    • 2z22z^2 is a quadratic term.
    • 8z-8z is a linear term.
    • 310310 is a constant term.
  2. The expression is already in its simplified form since there are no like terms to combine.

4. Verify and Summarize

We summarize the findings by reiterating that the expression has already been simplified, as there are no further combinations possible with the existing terms.

Final Answer

The simplified form of the expression is:

2z28z+310 2z^2 - 8z + 310

This problem has been solved

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