Example Question - expanding algebraic expression
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Expanding Algebraic Expression Using FOIL Method
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 * 2 Now, multiply the terms: = 6x^2 + 4x + 3x + 2 Combine like terms: = 6x^2 + 7x + 2 So, the expanded form of the expression is: 6x^2 + 7x + 2
Expanding and Simplifying Algebraic Expression
To expand the brackets and simplify the expression \(2(3x - 7) + 19\), we will first distribute the 2 through the terms inside the parenthesis and then combine like terms. Here are the steps: 1. Distribute the 2 to both terms inside the brackets: \(2 \times 3x\) and \(2 \times -7\). \(2(3x) = 6x\) \(2(-7) = -14\) 2. Combine these results with the remaining term outside the brackets: \(6x - 14 + 19\) 3. Simplify the constant terms \(-14\) and \(+19\) by adding them together: \(-14 + 19 = 5\) Put it all together, and the simplified expression is: \(6x + 5\)
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