Question - Expanding Algebraic Expression Using FOIL Method
Solution:
The image shows an algebraic expression that needs to be expanded. To solve the expression (2x + 1)(3x + 2), we use the distributive property (also known as the FOIL method for binomials), where we multiply each term in the first parenthesis by each term in the second parenthesis. Here’s how it is expanded:(2x + 1)(3x + 2) = 2x * 3x + 2x * 2 + 1 * 3x + 1 * 2Now, multiply the terms:= 6x^2 + 4x + 3x + 2Combine like terms:= 6x^2 + 7x + 2So, the expanded form of the expression is:6x^2 + 7x + 2
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