Find the product. Simplify your answer: -4(3b^2 + 6)
Understand the Problem
The question is asking to find and simplify the product of the expression -4(3b^2 + 6). This involves applying the distributive property to multiply -4 with each term inside the parentheses.
Answer
The simplified product is: $$ -12b^2 - 24 $$
Answer for screen readers
The simplified product is: $$ -12b^2 - 24 $$
Steps to Solve
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Apply the Distributive Property Multiply -4 with each term inside the parentheses.
First term: $$ -4 \times 3b^2 = -12b^2 $$
Second term: $$ -4 \times 6 = -24 $$
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Combine the Results Combine the results from the first step to write the simplified expression.
$$ -12b^2 - 24 $$
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Final Simplified Expression The final expression combining both results is:
$$ -12b^2 - 24 $$
The simplified product is: $$ -12b^2 - 24 $$
More Information
This expression shows the expanded form of multiplying a term by a polynomial using the distributive property. It's a common operation in algebra that helps simplify expressions.
Tips
- Forgetting to apply the negative sign when multiplying the terms.
- Not multiplying each term within the parentheses, leading to incomplete simplification.
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