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multiply. (-7a - 4)(-4a + 3) simplify your answer.

Question

multiply.
(-7a - 4)(-4a + 3)
simplify your answer.

Explanation:

Step1: Apply distributive property (FOIL)

Multiply the First terms: \((-7a)(-4a) = 28a^2\)
Multiply the Outer terms: \((-7a)(3) = -21a\)
Multiply the Inner terms: \((-4)(-4a) = 16a\)
Multiply the Last terms: \((-4)(3) = -12\)

Step2: Combine like terms

Combine the middle terms: \(-21a + 16a = -5a\)
So the expression becomes \(28a^2 - 5a - 12\)

Answer:

\(28a^2 - 5a - 12\)