1Cademy - Multiplying $$(4y + 5)(4y - 10)$$ Using the FOIL Method

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The FOIL Method for Multiplying Binomials

Example

Multiplying $(4y + 5)(4y - 10)$ Using the FOIL Method

Multiply $(4y + 5)(4y - 10)$ using the FOIL method.

Step 1 — First: Multiply the first terms: $4y \cdot 4y = 16y^2$ .

Step 2 — Outer: Multiply the outermost terms: $4y \cdot (-10) = -40y$ .

Step 3 — Inner: Multiply the innermost terms: $5 \cdot 4y = 20y$ .

Step 4 — Last: Multiply the last terms: $5 \cdot (-10) = -50$ .

Writing all four products in order gives: $16y^2 - 40y + 20y - 50$

Step 5 — Combine like terms: The Outer and Inner products $-40y$ and $20y$ are like terms: $-40y + 20y = -20y$ .

The simplified result is $16y^2 - 20y - 50$ .

Updated 2026-04-29

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OpenStax Intermediate Algebra

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Intermediate Algebra @ OpenStax

Ch.5 Polynomials and Polynomial Functions - Intermediate Algebra @ OpenStax

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