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Add: 8ab, - 5ab, 3ab, - ab...

Add:
`8ab, - 5ab, 3ab, - ab`

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To solve the problem of adding the algebraic expressions \( 8ab, -5ab, 3ab, -ab \), we will follow these steps: ### Step 1: Identify and group the like terms We have the terms: - Positive terms: \( 8ab \) and \( 3ab \) - Negative terms: \( -5ab \) and \( -ab \) ### Step 2: Add the positive terms Now, we will add the positive terms together: \[ 8ab + 3ab = 11ab \] ### Step 3: Add the negative terms Next, we will add the negative terms together: \[ -5ab + (-ab) = -5ab - 1ab = -6ab \] ### Step 4: Combine the results from Step 2 and Step 3 Now, we will combine the results from the positive and negative sums: \[ 11ab + (-6ab) = 11ab - 6ab = 5ab \] ### Step 5: Determine the sign of the final result Since \( 11ab \) (the positive sum) is greater than \( 6ab \) (the absolute value of the negative sum), the final result will be positive: \[ 5ab \] ### Final Answer Thus, the sum of the algebraic expressions \( 8ab, -5ab, 3ab, -ab \) is: \[ \boxed{5ab} \]
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Knowledge Check

  • ab -- baa - - ab -

    A
    baabb
    B
    aabab
    C
    aaaaa
    D
    aabaa
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