Find the product. Simplify your answer. 8(-2j² - 2j)
Understand the Problem
The question is asking us to multiply a polynomial, specifically -2j² - 2j, by a monomial, which is 8, and then simplify the result.
Answer
The product is \( -16j^2 - 16j \).
Answer for screen readers
The final simplified answer is ( -16j^2 - 16j ).
Steps to Solve
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Distribute the monomial We start by multiplying each term in the polynomial by the monomial. The expression is $8(-2j^2 - 2j)$.
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Multiply the first term Multiply $8$ by $-2j^2$: $$ 8 \times -2j^2 = -16j^2 $$
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Multiply the second term Now, multiply $8$ by $-2j$: $$ 8 \times -2j = -16j $$
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Combine the results Now we combine the two results: $$ -16j^2 - 16j $$
The final simplified answer is ( -16j^2 - 16j ).
More Information
This answer represents the result of distributing the monomial across the polynomial. This technique is commonly used in algebra to simplify expressions without changing their value.
Tips
- Forgetting to apply the distributive property to both terms in the polynomial.
- Miscalculating the coefficients during multiplication.
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