Math Problem Statement
(8x-w)(x-3w)
Solution
To simplify the expression , let's expand it using the distributive property (also known as the FOIL method for binomials):
Now, let’s calculate each term separately:
Combining all these terms, we get:
Now, we can combine like terms ():
Thus, the simplified expression is:
Would you like further explanation or have any questions?
Here are five related questions to deepen your understanding:
- How would this expansion differ if we had ?
- Can you factor the expression further?
- What is the effect of changing coefficients in the initial expression on the expanded result?
- How would you simplify with different variables?
- What are the steps to apply the distributive property with more than two terms?
Tip: When expanding binomials, always ensure each term from one binomial multiplies each term in the other binomial to cover all possible products.
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Math Problem Analysis
Mathematical Concepts
Algebra
Polynomial Expansion
Binomials
Formulas
Distributive Property: (a + b)(c + d) = ac + ad + bc + bd
Theorems
Distributive Property
Suitable Grade Level
Grades 8-10