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find the product. simplify your answer. $(x + 3)(2x + 4)$

Question

find the product. simplify your answer.
$(x + 3)(2x + 4)$

Explanation:

Step1: Apply FOIL method

$(x+3)(2x+4) = x\cdot2x + x\cdot4 + 3\cdot2x + 3\cdot4$

Step2: Calculate each term

$= 2x^2 + 4x + 6x + 12$

Step3: Combine like terms

$= 2x^2 + (4x+6x) + 12 = 2x^2 + 10x + 12$

Answer:

$2x^2 + 10x + 12$