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

Identify Problem Structure: Identify the structure of the problem. The problem (g + 3)(g - 4) is a product of two binomials.Apply Distributive Property: Apply the distributive property (also known as the FOIL method for binomials) to multiply the two binomials. (g + 3)(g - 4) = g*g + g*(-4) + 3*g + 3*(-4)Perform Multiplication for Each Term: Perform the multiplication for each term. g*g = g^2 g*(-4) = -4g 3*g = 3g 3*(-4) = -12Combine Like Terms: Combine like terms. g^2 - 4g + 3g - 12 = g^2 - (4g - 3g) - 12Simplify Expression: Simplify the expression by combining like terms. g^2 - (4g - 3g) - 12 = g^2 - 1g - 12Write Final Product: Write the final simplified product. The simplified product is g^2 - g - 12.

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

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Math Problems

Algebra 1

Multiply two binomials: special cases

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Q. Find the product. Simplify your answer.

\newline

(g + 3)(g - 4)

Identify Problem Structure: Identify the structure of the problem. The problem $(g + 3)(g - 4)$ is a product of two binomials.
Apply Distributive Property: Apply the distributive property (also known as the FOIL method for binomials) to multiply the two binomials. $\newline$ $(g + 3)(g - 4) = g\cdot g + g\cdot(-4) + 3\cdot g + 3\cdot(-4)$
Perform Multiplication for Each Term: Perform the multiplication for each term. $\newline$ $g*g = g^2$ $\newline$ $g*(-4) = -4g$ $\newline$ $3*g = 3g$ $\newline$ $3*(-4) = -12$
Combine Like Terms: Combine like terms. $\newline$ $g^2 - 4g + 3g - 12 = g^2 - (4g - 3g) - 12$
Simplify Expression: Simplify the expression by combining like terms. $g^2 - (4g - 3g) - 12 = g^2 - 1g - 12$
Write Final Product: Write the final simplified product. $\newline$ The simplified product is $g^2 - g - 12$ .