(3x%2B4).jpeg "(2x-9)(3x+4)")
Expanding the Expression (2x - 9)(3x + 4)
This article will guide you through the process of expanding the expression (2x - 9)(3x + 4).
Understanding the Process
Expanding the expression involves using the distributive property, also known as the FOIL method. This method involves multiplying each term in the first set of parentheses by each term in the second set of parentheses.
Expanding the Expression
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First terms: Multiply the first term in each set of parentheses: (2x) * (3x) = 6x²
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Outer terms: Multiply the outer terms of the two sets of parentheses: (2x) * (4) = 8x
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Inner terms: Multiply the inner terms of the two sets of parentheses: (-9) * (3x) = -27x
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Last terms: Multiply the last term in each set of parentheses: (-9) * (4) = -36
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Combine like terms: Now, combine the terms we obtained: 6x² + 8x - 27x - 36
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Simplify: Combine the x terms: 6x² - 19x - 36
Final Result
Therefore, the expanded form of (2x - 9)(3x + 4) is 6x² - 19x - 36.
Conclusion
Expanding algebraic expressions is an essential skill in mathematics. By understanding the distributive property and applying the FOIL method, you can efficiently expand and simplify expressions like (2x - 9)(3x + 4). Remember to carefully multiply each term and then combine like terms to arrive at the simplified form.