(2x-1)(3x-1) In Standard Form

Jasonbradley

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Jun 16, 2024

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Expanding and Simplifying (2x-1)(3x-1) into Standard Form

In mathematics, the standard form of a polynomial is when the terms are arranged in descending order of their exponents. Let's take a look at how to express the product of the binomials (2x-1)(3x-1) in standard form.

Expanding the Expression

We can expand the expression using the FOIL method, which stands for First, Outer, Inner, Last:

• First: 2x * 3x = 6x²
• Outer: 2x * -1 = -2x
• Inner: -1 * 3x = -3x
• Last: -1 * -1 = 1

Combining these terms, we get:

6x² - 2x - 3x + 1

Simplifying the Expression

We can now simplify the expression by combining like terms:

6x² - 5x + 1

Final Result

Therefore, the standard form of (2x-1)(3x-1) is 6x² - 5x + 1.