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Find the product. Simplify your answer. $\newline$ $(3g - 4)(2g + 4)$

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Multiply polynomials

Full solution

Q. Find the product. Simplify your answer.

\newline

(3g - 4)(2g + 4)

Apply Distributive Property: First, we will apply the distributive property to multiply the first term of the first binomial by both terms of the second binomial. $\newline$ Calculation: $(3g - 4)(2g) + (3g - 4)(4)$ $\newline$ Math error check:
Multiply Terms: Now, we multiply $3g$ by $2g$ and $3g$ by $4$ . $\newline$ Calculation: $3g \times 2g = 6g^2$ and $3g \times 4 = 12g$ $\newline$ Math error check:
Apply Distributive Property: Next, we will apply the distributive property to multiply the second term of the first binomial by both terms of the second binomial. $\newline$ Calculation: $(-4)(2g) + (-4)(4)$ $\newline$ Math error check:
Multiply Terms: Now, we multiply $-4$ by $2g$ and $-4$ by $4$ . $\newline$ Calculation: $-4 \times 2g = -8g$ and $-4 \times 4 = -16$ $\newline$ Math error check:
Combine Terms: Finally, we combine all the terms we have calculated to get the simplified product. $\newline$ Calculation: $6g^2 + 12g - 8g - 16$ $\newline$ Math error check:
Simplify Expression: We combine like terms to simplify the expression further. $\newline$ Calculation: $6g^2 + (12g - 8g) - 16 = 6g^2 + 4g - 16$ $\newline$ Math error check:

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