(6x+1)(1−3x)=

Jasonbradley

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Jun 16, 2024

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Expanding the Expression (6x + 1)(1 - 3x)

This article will guide you through the process of expanding the algebraic expression (6x + 1)(1 - 3x).

Understanding the Concept

Expanding an expression like this involves applying the distributive property, sometimes referred to as FOIL (First, Outer, Inner, Last). The distributive property allows us to multiply each term in the first set of parentheses by each term in the second set of parentheses.

Step-by-Step Solution

1. First: Multiply the first term of each set of parentheses: (6x) * (1) = 6x

2. Outer: Multiply the outer terms of the parentheses: (6x) * (-3x) = -18x²

3. Inner: Multiply the inner terms of the parentheses: (1) * (1) = 1

4. Last: Multiply the last terms of the parentheses: (1) * (-3x) = -3x

5. Combine: Add all the resulting terms: 6x - 18x² + 1 - 3x

6. Simplify: Combine like terms: -18x² + 3x + 1

Final Result

Therefore, the expanded form of the expression (6x + 1)(1 - 3x) is -18x² + 3x + 1.