Find the product. Simplify your answer. (3t - 1)(t - 2) ______

Apply Distributive Property: Apply the distributive property to multiply the two binomials (3t - 1) and (t - 2). (3t - 1)(t - 2) = 3t(t - 2) - 1(t - 2)Distribute 3t: Distribute 3t across the binomial (t - 2). 3t(t - 2) = 3t * t - 3t * 2 = 3t^2 - 6tDistribute -1: Distribute -1 across the binomial (t - 2). -1(t - 2) = -1 * t + 1 * 2 = -t + 2Combine Results: Combine the results from Step 2 and Step 3. (3t - 1)(t - 2) = 3t^2 - 6t - t + 2Combine Like Terms: Combine like terms. 3t^2 - 6t - t + 2 = 3t^2 - 7t + 2

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Find the product. Simplify your answer. $\newline$ $(3t - 1)(t - 2)$

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Math Problems

Algebra 1

Multiply two binomials

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Q. Find the product. Simplify your answer.

\newline

(3t - 1)(t - 2)

Apply Distributive Property: Apply the distributive property to multiply the two binomials $(3t - 1)$ and $(t - 2)$ . $(3t - 1)(t - 2) = 3t(t - 2) - 1(t - 2)$
Distribute $3t$ : Distribute $3t$ across the binomial $(t - 2)$ . $\newline$ $3t(t - 2) = 3t \times t - 3t \times 2$ $\newline$ $= 3t^2 - 6t$
Distribute $-1$ : Distribute $-1$ across the binomial $(t - 2)$ . $\newline$ \(-1(t - $2$ ) = $-1$ \times t + $1$ \times $2$ $\newline$ = -t + $2$
Combine Results: Combine the results from Step $2$ and Step $3$ . $\newline$ $(3t - 1)(t - 2) = 3t^2 - 6t - t + 2$
Combine Like Terms: Combine like terms. $\newline$ $3t^2 - 6t - t + 2 = 3t^2 - 7t + 2$