Math Problem Statement
C=2y(7+y) = D=x(4x-8) = E =-w(w-2)= F=-2x(5x-3)=
Solution
Let's break down and expand each of these expressions:
- Expression C:
Distribute the across the terms inside the parentheses:
- Expression D:
Distribute the across the terms inside the parentheses:
- Expression E:
Distribute the across the terms inside the parentheses:
- Expression F:
Distribute the across the terms inside the parentheses:
Final Results:
Would you like to explore any of these in more detail or need further help with other questions?
Here are 5 related questions to deepen understanding:
- What is the difference between expanding a binomial and factoring one?
- How do you combine like terms when simplifying algebraic expressions?
- What does it mean to "distribute" in algebra, and why is it important?
- How can you factor expressions like or ?
- What would the graph of the expression look like?
Tip: When expanding expressions like these, it's always helpful to write each step out clearly to avoid missing any terms during the distribution.
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Math Problem Analysis
Mathematical Concepts
Algebra
Distributive Property
Polynomial Expansion
Formulas
Distributive Property: a(b + c) = ab + ac
Standard form of polynomials: ax^2 + bx + c
Theorems
Distributive property
Suitable Grade Level
Grades 8-10
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