Find the product. Simplify your answer. (g - 3)(g - 4) ______

Apply Distributive Property: We need to apply the distributive property (also known as the FOIL method for binomials) to find the product of (g - 3) and (g - 4). This involves multiplying each term in the first binomial by each term in the second binomial.Multiply First Terms: First, multiply the first terms of each binomial: g * g = g^2.Multiply Outer Terms: Next, multiply the outer terms: g * (-4) = -4g.Multiply Inner Terms: Then, multiply the inner terms: (-3) * g = -3g.Multiply Last Terms: Finally, multiply the last terms of each binomial: (-3) * (-4) = 12.Combine Products: Now, combine all the products: g^2 - 4g - 3g + 12.Combine Like Terms: Combine like terms: g^2 - 4g - 3g is g^2 - 7g, so the expression simplifies to g^2 - 7g + 12.

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Find the product. Simplify your answer. $\newline$ $(g - 3)(g - 4)$

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Q. Find the product. Simplify your answer.

\newline

(g - 3)(g - 4)

Apply Distributive Property: We need to apply the distributive property (also known as the FOIL method for binomials) to find the product of $(g - 3)$ and $(g - 4)$ . This involves multiplying each term in the first binomial by each term in the second binomial.
Multiply First Terms: First, multiply the first terms of each binomial: $g \times g = g^2$ .
Multiply Outer Terms: Next, multiply the outer terms: $g \times (-4) = -4g$ .
Multiply Inner Terms: Then, multiply the inner terms: $(-3) \times g = -3g$ .
Multiply Last Terms: Finally, multiply the last terms of each binomial: $(-3) \times (-4) = 12$ .
Combine Products: Now, combine all the products: $g^2 - 4g - 3g + 12$ .
Combine Like Terms: Combine like terms: $g^2 - 4g - 3g$ is $g^2 - 7g$ , so the expression simplifies to $g^2 - 7g + 12$ .