Web Analytics

Questions › Math

Math Asked by a SnapAndSolve user · about 2 hours ago

Combine like terms to complete the equivalent expression. 5x^2 - 9 + 1x - 18 + 1x^2 = (2x^2 - 2x) + (7x -...

Combine like terms to complete the equivalent expression.
5x^2 - 9 + 1x - 18 + 1x^2 = (2x^2 - 2x) + (7x - 9) + (-x - 2)
5x^2 - 9 + 1x - 18 + 1x^2 = [(1x^2 - 1x^2) + (1x^2 - 1x^2)] + [(1x^2 - 1x^2) + (1x^2 - 1x^2)]

Answer

Step 1: Simplify the left side of the equation by combining like terms.

  1. Combine the x^2 terms: 5x^2 + 1x^2 = 6x^2
  2. Combine the x terms: 1x
  3. Combine the constant terms: -9 - 18 = -27

The simplified left side is: 6x^2 + 1x - 27

Step 2: Simplify the right side of the equation.

  1. Combine the terms in each group:
  2. (2x^2 - 2x) = 2x^2 - 2x
  3. (7x - 9) = 7x - 9
  4. (-x - 2) = -x - 2

Combine all terms: 2x^2 - 2x + 7x - 9 - x - 2

  1. Combine the x^2 terms: 2x^2
  2. Combine the x terms: -2x + 7x - x = 4x
  3. Combine the constant terms: -9 - 2 = -11

The simplified right side is: 2x^2 + 4x - 11

Conclusion: The equivalent expression is 6x^2 + 1x - 27 = 2x^2 + 4x - 11

Have a similar question?

Snap a photo of your homework and get a step-by-step answer in seconds. You can ask follow-up questions until it makes sense.

Solve my question free Math help Find a math tutor

More math questions