Math Problem Statement
Expand and simplify 2(x + 7) + 3(x + 1)
Solution
The expression in the image is:
Let's expand and simplify it step by step:
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Distribute the numbers outside the parentheses:
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Now, add the two expanded expressions together:
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Combine the like terms (the -terms and the constants):
So, the simplified expression is:
Would you like further explanation or details?
Here are 5 related questions to consider:
- How do you solve an equation involving parentheses and multiple terms?
- What is the distributive property, and how does it apply here?
- How would the process change if there were negative signs in the parentheses?
- Can this method be used to simplify more complex polynomials?
- How can factoring help reverse the process of expanding?
Tip: Always look for like terms after distributing to simplify your expressions efficiently!
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Math Problem Analysis
Mathematical Concepts
Algebra
Simplification
Distributive Property
Formulas
Distributive Property: a(b + c) = ab + ac
Theorems
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Suitable Grade Level
Grades 6-8