Expanding the Expression (x+2)(2x^2x9)
This article focuses on expanding the expression (x+2)(2x^2x9). We'll achieve this by applying the distributive property (also known as the FOIL method).
Understanding the Distributive Property
The distributive property states that multiplying a sum by a number is the same as multiplying each addend in the sum by that number and then adding the products.
In our case, we have two factors: (x+2) and (2x^2x9). To expand this expression, we need to multiply each term in the first factor by each term in the second factor.
Expanding the Expression

Multiply x by each term in the second factor:
 x * (2x^2) = 2x^3
 x * (x) = x^2
 x * (9) = 9x

Multiply 2 by each term in the second factor:
 2 * (2x^2) = 4x^2
 2 * (x) = 2x
 2 * (9) = 18

Combine all the terms:
 2x^3  x^2  9x + 4x^2  2x  18

Simplify by combining like terms:
 2x^3 + 3x^2  11x  18
Conclusion
Therefore, the expanded form of (x+2)(2x^2x9) is 2x^3 + 3x^2  11x  18. This process involves applying the distributive property and then simplifying the resulting expression by combining like terms.