(2x-1)(4x^2+2x+1)-7(x^3+1) Tại X=-1/2

Jasonbradley

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Jun 16, 2024

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Evaluating the Expression (2x-1)(4x^2+2x+1)-7(x^3+1) at x = -1/2

This article will guide you through the process of evaluating the expression (2x-1)(4x^2+2x+1)-7(x^3+1) at x = -1/2.

Step 1: Substitute the value of x

First, substitute x = -1/2 into the expression:

(2(-1/2)-1)(4(-1/2)^2+2(-1/2)+1)-7((-1/2)^3+1)

Step 2: Simplify the expression

Now, simplify the expression by performing the necessary arithmetic operations.

• Simplify the terms inside the parentheses:

  • 2(-1/2) = -1
  • 4(-1/2)^2 = 1
  • 2(-1/2) = -1
  • (-1/2)^3 = -1/8

• Substitute the simplified values back into the expression:

  • (-1-1)(1-1+1)-7(-1/8+1)

• Continue simplifying:

  • (-2)(1)-7(7/8)

• Perform the multiplication:

  • -2 - 49/8

• Find a common denominator:

  • -16/8 - 49/8

• Combine the terms:

  • -65/8

Conclusion

Therefore, the value of the expression (2x-1)(4x^2+2x+1)-7(x^3+1) at x = -1/2 is -65/8.