add or subtract polynomials by simply combining like terms

Question

(x+5)+(4x-7)

Answer 1

To add the polynomials \((x + 5)\) and \((4x - 7)\), you can combine like terms.

1. Identify like terms:

   • The like terms for \(x\) are \(x\) and \(4x\).
   • The constant terms are \(5\) and \(-7\).

2. Combine like terms:

   • For the \(x\) terms: \(x + 4x = 5x\)
   • For the constant terms: \(5 - 7 = -2\)

3. Write the result:

   • Combine the results of the like terms: \[ 5x - 2 \]

So, \((x + 5) + (4x - 7) = 5x - 2\).

Answer 2

do you order them a certain way first?