(3x-5)-answer.jpeg "(2x-3)(3x-5) Answer")
Expanding the Expression (2x-3)(3x-5)
This article will guide you through the process of expanding the expression (2x-3)(3x-5).
Understanding the Process
Expanding an expression like this involves using the distributive property (also known as FOIL). This means multiplying each term in the first set of parentheses by each term in the second set of parentheses.
Step-by-Step Solution
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First (F): Multiply the first terms of each binomial: (2x) * (3x) = 6x²
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Outer (O): Multiply the outer terms of each binomial: (2x) * (-5) = -10x
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Inner (I): Multiply the inner terms of each binomial: (-3) * (3x) = -9x
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Last (L): Multiply the last terms of each binomial: (-3) * (-5) = 15
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Combine like terms:
6x² - 10x - 9x + 15 = 6x² - 19x + 15
Final Answer
Therefore, the expanded form of (2x-3)(3x-5) is 6x² - 19x + 15.
Key Takeaways
- Remember the FOIL method: First, Outer, Inner, Last
- Combine like terms to simplify the final expression
- Expanding binomials is a fundamental skill in algebra, and understanding this process will help you solve more complex equations.