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

Apply Distributive Property: Apply the distributive property (also known as the FOIL method for binomials) to multiply the two binomials (4t - 3) and (t - 4). (4t - 3)(t - 4) = 4t(t) + 4t(-4) - 3(t) - 3(-4)Multiply Terms: Multiply each term in the first binomial by each term in the second binomial. 4t(t) = 4t^2 4t(-4) = -16t -3(t) = -3t -3(-4) = 12Combine Results: Combine the results from Step 2. (4t - 3)(t - 4) = 4t^2 - 16t - 3t + 12Combine Like Terms: Combine like terms. 4t^2 - 16t - 3t + 12 = 4t^2 - 19t + 12

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

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Math Problems

Algebra 1

Multiply two binomials

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Q. Find the product. Simplify your answer.

\newline

(4t - 3)(t - 4)

Apply Distributive Property: Apply the distributive property (also known as the FOIL method for binomials) to multiply the two binomials $(4t - 3)$ and $(t - 4)$ . $(4t - 3)(t - 4) = 4t(t) + 4t(-4) - 3(t) - 3(-4)$
Multiply Terms: Multiply each term in the first binomial by each term in the second binomial. $\newline$ $4t(t) = 4t^2$ $\newline$ $4t(-4) = -16t$ $\newline$ $-3(t) = -3t$ $\newline$ $-3(-4) = 12$
Combine Results: Combine the results from Step $2$ . $\newline$ $(4t - 3)(t - 4) = 4t^2 - 16t - 3t + 12$
Combine Like Terms: Combine like terms. $\newline$ $4t^2 - 16t - 3t + 12 = 4t^2 - 19t + 12$