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Answer
The result is \(2b^{2}-2b-24\).
Solution
Calculate or simplify the expression \( (b-4)(2b+6) \).
Calculate or simplify the expression \( (b-4)(2b+6) \).
Simplify the expression by following steps:
- step0: Multiply the terms:
\(\left(b-4\right)\left(2b+6\right)\)
- step1: Apply the distributive property:
\(b\times 2b+b\times 6-4\times 2b-4\times 6\)
- step2: Multiply the terms:
\(2b^{2}+6b-8b-24\)
- step3: Subtract the terms:
\(2b^{2}-2b-24\)
The result of multiplying \((b-4)(2b+6)\) is \(2b^{2}-2b-24\).
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Simplify this solution Bonus Knowledge
To solve the multiplication of \( (b-4)(2b+6) \), we can use the distributive property, also known as the FOIL method for binomials: 1. Multiply the first terms: \( b \cdot 2b = 2b^2 \). 2. Multiply the outer terms: \( b \cdot 6 = 6b \). 3. Multiply the inner terms: \( -4 \cdot 2b = -8b \). 4. Multiply the last terms: \( -4 \cdot 6 = -24 \). Now, combine all the results: \[ 2b^2 + 6b - 8b - 24 = 2b^2 - 2b - 24. \] So, the final answer is: \[ 2b^2 - 2b - 24. \]
