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For questions 3 - 5, use the FOIL method to find the product of the binomials.

3. (2x+3)(x + 1)
4. (x - 5)(3x + 2)
5. (x2 + 2)(5x + 1)


Please make it a easy way to understand.

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Final answer:

The FOIL method multiplies two binomials by combining the products of the First, Outer, Inner, and Last terms. The products for the given expressions are (2x+3)(x+1) = 2x² + 5x + 3, (x-5)(3x+2) = 3x² - 13x - 10, and (x²+2)(5x+1) = 5x³ + x² + 10x + 2.

Step-by-step explanation:

Using the FOIL Method to Multiply Binomials

The FOIL method is a technique used in algebra to multiply two binomials. FOIL stands for First, Outer, Inner, Last, which refers to the order in which you multiply the terms in the binomials.

For (2x+3)(x+1), we multiply the First terms, Outer terms, Inner terms, and Last terms respectively:

The sum of these products is 2x² + 5x + 3.

For (x - 5)(3x + 2), following the same FOIL process, we get:

The result is 3x² - 13x - 10.

For (x² + 2)(5x + 1), applying FOIL yields:

First: x² * 5x = 5x³

Outer: x² * 1 = x²

Inner: 2 * 5x = 10x

Last: 2 * 1 = 2

Remember to always combine like terms wherever possible, simplify the expression, and check if the result is reasonable.

User Soufiane
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Answer:

Step-by-step explanation:

User Baltasvejas
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