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find the product. simplify your answer. (b - 4)(4b + 1)

Question

find the product. simplify your answer. (b - 4)(4b + 1)

Explanation:

Step1: Apply FOIL method

$(b-4)(4b+1) = b\cdot4b + b\cdot1 + (-4)\cdot4b + (-4)\cdot1$

Step2: Calculate each term

$=4b^2 + b - 16b - 4$

Step3: Combine like terms

$=4b^2 + (1-16)b - 4 = 4b^2 -15b -4$

Answer:

$4b^2 - 15b - 4$