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find the product. (x - 9)(x + 2) (x - 9)(x + 2) = \\square

Question

find the product.
(x - 9)(x + 2)
(x - 9)(x + 2) = \square

Explanation:

Step1: Apply the distributive property (FOIL method)

Multiply the First terms: \(x \times x = x^2\)
Multiply the Outer terms: \(x \times 2 = 2x\)
Multiply the Inner terms: \(-9 \times x = -9x\)
Multiply the Last terms: \(-9 \times 2 = -18\)

Step2: Combine like terms

Combine the \(2x\) and \(-9x\) terms: \(2x - 9x = -7x\)
So, putting it all together: \(x^2 - 7x - 18\)

Answer:

\(x^2 - 7x - 18\)