Math Problem Statement
(2x+2)(x-9)
Solution
To expand the expression , we will apply the distributive property (also known as the FOIL method for binomials).
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First, multiply the first terms:
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Next, multiply the outer terms:
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Then, multiply the inner terms:
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Finally, multiply the last terms:
Now, combine all these terms together:
Combine like terms:
So, the expanded form of is:
Would you like more details or further explanation?
Here are 5 related questions you might want to consider:
- How do you factor quadratic expressions like ?
- What are the solutions to ?
- Can you simplify further if given specific values of ?
- How does the distributive property work with trinomials?
- What happens when you apply the FOIL method to different types of binomials?
Tip: Always combine like terms after distributing to simplify your expression fully!
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Math Problem Analysis
Mathematical Concepts
Algebra
Distributive Property
Binomials
Formulas
(a+b)(c+d) = ac + ad + bc + bd
Combining like terms
Theorems
Distributive Property of Multiplication over Addition
Suitable Grade Level
Grades 8-10