Question
11. [-/1 Points] DETAILS MY NOTES TGEIALG6 5.5.055. \( \begin{array}{l}\text { Subtract the polynomials. (Simplify your answer completely.) } \\ \left(6 a b+2 b^{2}\right)-\left(2+a b+b^{2}\right) \\ \text { SUBMIT ANSWER }\end{array} \)
Ask by Lane Davison. in the United States
Jan 24,2025
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Answer
\(5ab + b^2 - 2\)
Solution
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Bonus Knowledge
To subtract these polynomials, you need to distribute the negative sign through the second polynomial. So it becomes: \( (6ab + 2b^2) - (2 + ab + b^2) = 6ab + 2b^2 - 2 - ab - b^2 \). Now, combine like terms: 1. For the \( ab \) terms: \( 6ab - ab = 5ab \). 2. For the \( b^2 \) terms: \( 2b^2 - b^2 = 1b^2 \). 3. The constant term is \( -2 \). Putting it all together gives you the simplified expression: \( 5ab + b^2 - 2 \).