Questions: Add the polynomials. 2a + b - c - d and 4a - 3b - 2c + 5d

Add the polynomials. 2a + b - c - d and 4a - 3b - 2c + 5d
Transcript text: 28 Add the polynomials. C) $2 a+b-c-d$ and $4 a-3 b-2 c+5 d$ Chapter Reference
failed

Solution

failed
failed

Solution Steps

Step 1: Write down the given polynomials

The given polynomials are: \[ 2a + b - c - d \] and \[ 4a - 3b - 2c + 5d \]

Step 2: Combine like terms

Combine the coefficients of like terms (terms with the same variable):

  • For \(a\): \(2a + 4a = 6a\)
  • For \(b\): \(b - 3b = -2b\)
  • For \(c\): \(-c - 2c = -3c\)
  • For \(d\): \(-d + 5d = 4d\)
Step 3: Write the resulting polynomial

The resulting polynomial after combining like terms is: \[ 6a - 2b - 3c + 4d \]

Final Answer

\[ \boxed{6a - 2b - 3c + 4d} \]

Was this solution helpful?
failed
Unhelpful
failed
Helpful