Math Problem Statement
Simplify the expression 4y^4(2xy - 2y^2).
Solution
The expression in the image is:
Let's simplify this step by step using the distributive property. We will multiply each term inside the parentheses by .
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First, distribute to :
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Then, distribute to :
Now, combining these, the simplified expression is:
Would you like any further clarifications or details on this solution? Here are some related questions:
- How do we apply the distributive property in algebraic expressions?
- What are the general rules for multiplying exponents in algebra?
- How does this problem relate to polynomial multiplication?
- Can this expression be factored further?
- What happens if we plug in specific values for and ?
Tip: When multiplying terms with exponents, always remember to add the exponents if the bases are the same!
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Math Problem Analysis
Mathematical Concepts
Algebra
Distributive Property
Exponents
Formulas
a(b + c) = ab + ac
Multiplication of Exponents: x^a * x^b = x^(a + b)
Theorems
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Suitable Grade Level
Grades 8-10