Math Problem Statement
(x+6)(x-2)
Solution
To solve , we can expand the expression using the distributive property (also known as FOIL for binomials). Here's the step-by-step process:
Now, let's distribute:
Now, add the two results together:
Combine like terms:
Thus, the expanded form of is:
Would you like further details on any part of this process?
Here are 5 related questions to expand on this:
- How do you factor quadratic expressions like ?
- Can you solve the equation ?
- What are the roots of the quadratic equation ?
- How do you complete the square for an equation like ?
- What is the vertex form of the quadratic equation ?
Tip: Always combine like terms after distributing to simplify expressions properly.
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Math Problem Analysis
Mathematical Concepts
Algebra
Binomial Expansion
Quadratic Expressions
Formulas
Distributive Property: a(b + c) = ab + ac
Theorems
Distributive Law
Suitable Grade Level
Grades 8-10