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Multiply [tex]\((x-4)(2x+3)\)[/tex] using the FOIL method. Select the answer choice showing the FOIL method products.

A. [tex]\((x-4)(2x) + (2x)(3)\)[/tex]
B. [tex]\((x)(2x) + 3(x) + (-4)(2x) + (-4)(3)\)[/tex]
C. [tex]\((x)(2x+3) + (x-4)\)[/tex]
D. [tex]\((x-4)(2x) + (x-4)(3)\)[/tex]

Sagot :

GinnyAnswer
Let's multiply the binomials [tex]\((x - 4)(2x + 3)\)[/tex] using the FOIL method, which stands for First, Outer, Inner, Last. This method helps us remember how to multiply each term in the binomials.

1. First: Multiply the first terms in each binomial:
[tex]\[ x \cdot 2x = x(2x) \][/tex]

2. Outer: Multiply the outer terms in the product:
[tex]\[ x \cdot 3 = x(3) \][/tex]

3. Inner: Multiply the inner terms in the product:
[tex]\[ -4 \cdot 2x = (-4)(2x) \][/tex]

4. Last: Multiply the last terms in each binomial:
[tex]\[ -4 \cdot 3 = (-4)(3) \][/tex]

Combining all the products together, we get:
[tex]\[ x(2x) + x(3) + (-4)(2x) + (-4)(3) \][/tex]

Thus, the correct answer choice that shows the FOIL method products is:
B. [tex]\((x)(2 x)+3(x)+(-4)(2 x)+(-4)(3)\)[/tex]
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