(5x%2B6).jpeg "(2x-3)(5x+6)")
Expanding the Expression (2x-3)(5x+6)
This article will guide you through the process of expanding the expression (2x-3)(5x+6).
Understanding the Concept
The expression (2x-3)(5x+6) represents the product of two binomials. To expand this, we need to apply the distributive property, often referred to as FOIL (First, Outer, Inner, Last).
Applying the FOIL Method
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First: Multiply the first terms of each binomial: (2x) * (5x) = 10x²
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Outer: Multiply the outer terms of the binomials: (2x) * (6) = 12x
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Inner: Multiply the inner terms of the binomials: (-3) * (5x) = -15x
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Last: Multiply the last terms of each binomial: (-3) * (6) = -18
Combining the Terms
Now, combine all the terms we obtained:
10x² + 12x - 15x - 18
Simplify by combining like terms:
10x² - 3x - 18
Conclusion
Therefore, the expanded form of the expression (2x-3)(5x+6) is 10x² - 3x - 18.
This process demonstrates the importance of understanding the distributive property and applying it correctly to expand algebraic expressions.