(2x+5)(4x-7)

Jasonbradley

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Jun 16, 2024

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Expanding the Expression (2x + 5)(4x - 7)

This article will guide you through the process of expanding the expression (2x + 5)(4x - 7). We will use the FOIL method, which stands for First, Outer, Inner, Last.

Applying FOIL

1. First: Multiply the first terms of each binomial: (2x)(4x) = 8x²
2. Outer: Multiply the outer terms of the binomials: (2x)(-7) = -14x
3. Inner: Multiply the inner terms of the binomials: (5)(4x) = 20x
4. Last: Multiply the last terms of the binomials: (5)(-7) = -35

Combining Like Terms

Now, we have: 8x² - 14x + 20x - 35

Combine the x terms: 8x² + 6x - 35

Final Result

Therefore, the expanded form of (2x + 5)(4x - 7) is 8x² + 6x - 35.