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simplify the following expression. (-x - 3)(-3x - 4) 3x² + 13x + ?

Question

simplify the following expression.
(-x - 3)(-3x - 4)
3x² + 13x + ?

Explanation:

Step1: Expand the product using FOIL method

First, multiply the First terms: \((-x)(-3x) = 3x^2\)
Then, multiply the Outer terms: \((-x)(-4) = 4x\)
Next, multiply the Inner terms: \((-3)(-3x) = 9x\)
Finally, multiply the Last terms: \((-3)(-4) = 12\)

Step2: Combine like terms

Combine the \(x\) terms: \(4x + 9x = 13x\)
The constant term is \(12\)

Answer:

12