(x-3).jpeg "(x+9)(x-3)")
Expanding (x+9)(x-3)
This article will explore the expansion of the expression (x+9)(x-3).
Understanding the Process
The expression (x+9)(x-3) represents the multiplication of two binomials. To expand it, we need to apply the distributive property. This means multiplying each term in the first binomial by each term in the second binomial.
Applying the Distributive Property
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Multiply the first term of the first binomial (x) by each term in the second binomial:
- x * x = x²
- x * -3 = -3x
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Multiply the second term of the first binomial (9) by each term in the second binomial:
- 9 * x = 9x
- 9 * -3 = -27
Combining the Terms
Now, we have four terms: x², -3x, 9x, and -27. Combine the like terms:
- x² + (-3x + 9x) - 27
This simplifies to:
- x² + 6x - 27
Conclusion
Therefore, the expanded form of (x+9)(x-3) is x² + 6x - 27. This process demonstrates the application of the distributive property for expanding binomial expressions.