Find the product. Simplify your answer. (g - 2)(4g + 3) ______

Apply Distributive Property: Apply the distributive property to multiply the two binomials. (g - 2)(4g + 3) = g(4g + 3) - 2(4g + 3)Multiply by g: Multiply g with each term in the binomial (4g + 3). g(4g + 3) = g(4g) + g(3) = 4g^2 + 3gMultiply by -2: Multiply -2 with each term in the binomial (4g + 3). -2(4g + 3) = -2(4g) - 2(3) = -8g - 6Combine Results: Combine the results from Step 2 and Step 3. (4g^2 + 3g) + (-8g - 6) = 4g^2 + 3g - 8g - 6Combine Like Terms: Combine like terms. 4g^2 + 3g - 8g - 6 = 4g^2 - 5g - 6

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

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Math Problems

Algebra 1

Multiply two binomials

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Q. Find the product. Simplify your answer.

\newline

(g - 2)(4g + 3)

Apply Distributive Property: Apply the distributive property to multiply the two binomials. $\newline$ $(g - 2)(4g + 3) = g(4g + 3) - 2(4g + 3)$
Multiply by $g$ : Multiply $g$ with each term in the binomial $(4g + 3)$ . $g(4g + 3) = g(4g) + g(3) = 4g^2 + 3g$
Multiply by $-2$ : Multiply $-2$ with each term in the binomial $(4g + 3)$ . $-2(4g + 3) = -2(4g) - 2(3) = -8g - 6$
Combine Results: Combine the results from Step $2$ and Step $3$ . $\newline$ $(4g^2 + 3g) + (-8g - 6) = 4g^2 + 3g - 8g - 6$
Combine Like Terms: Combine like terms. $\newline$ $4g^2 + 3g - 8g - 6 = 4g^2 - 5g - 6$