Math Problem Statement
Solution
The equation shown in the image is:
Let's solve it step by step.
Step 1: Expand the first product
We use the distributive property (FOIL method):
Step 2: Expand
We use the formula :
Step 3: Subtract the result of the square from the first expanded expression
Now, we subtract:
Distribute the negative sign:
Now, combine like terms:
Thus, the simplified expression is:
Would you like further clarification or details on this solution?
Related questions:
- How does the distributive property work for binomials?
- What are the steps in applying the FOIL method?
- How do you simplify expressions after expanding terms?
- What is the formula for expanding a square of a binomial?
- How do you combine like terms after distributing?
Tip: When expanding binomials, carefully apply the distributive property or the FOIL method to ensure all terms are accounted for.
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Math Problem Analysis
Mathematical Concepts
Algebra
Binomial Expansion
Simplification of Expressions
Formulas
Distributive property: a(b + c) = ab + ac
Square of binomial: (a - b)^2 = a^2 - 2ab + b^2
Theorems
Distributive Property
Binomial Expansion
Suitable Grade Level
Grades 9-12
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