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Carboxylic acid Derivatives Acid Halide Anhydride Ester Amide

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To find the product of two binomials, we use the distributive property (FOIL method): multiply each term in the first binomial by each term in the second.

Given: $(x + 3) (x + 2)$

First: $x \times x = x^{2}$

Outer: $x \times 2 = 2 x$

Inner: $3 \times x = 3 x$

Last: $3 \times 2 = 6$

Combine like terms: $x^{2} + 2 x + 3 x + 6 = x^{2} + 5 x + 6$

Final Answer: $x^{2} + 5 x + 6$