Example Question - binomials
Here are examples of questions we've helped users solve.
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
Solving Expression Using Distributive Property
To solve the expression given in the image, you need to apply the distributive property (also known as the FOIL method for binomials), which states that a(b + c) = ab + ac. Given the expression: (-7x - 8)(12 + 8x), we apply the distributive property as follows: (-7x * 12) + (-7x * 8x) + (-8 * 12) + (-8 * 8x) Now perform the multiplications: (-84x) + (-56x^2) - (96) - (64x) Combine like terms: -56x^2 - 84x - 64x - 96 -56x^2 - 148x - 96 The final simplified expression is: -56x^2 - 148x - 96
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