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find the product. simplify your answer. $(g + 2)(g - 3)$

Question

find the product. simplify your answer.
$(g + 2)(g - 3)$

Explanation:

Step1: Apply distributive property (FOIL)

$(g+2)(g-3) = g\cdot g + g\cdot(-3) + 2\cdot g + 2\cdot(-3)$

Step2: Calculate each term

$g^2 - 3g + 2g - 6$

Step3: Combine like terms

$g^2 + (-3g+2g) - 6 = g^2 - g - 6$

Answer:

$g^2 - g - 6$