Find the product. Simplify your answer. (m - 3)(4m - 1) ______

Apply Distributive Property: Apply the distributive property to multiply (m - 3) by each term in (4m - 1). (m - 3)(4m - 1) = m(4m - 1) - 3(4m - 1)Simplify m(4m - 1): Simplify m(4m - 1). m(4m - 1) = m(4m) - m(1) = 4m^2 - mSimplify -3(4m - 1): Simplify -3(4m - 1). -3(4m - 1) = -3(4m) + 3(1) = -12m + 3Combine Simplified Terms: Combine the simplified terms from the previous steps. (4m^2 - m) + (-12m + 3) = 4m^2 - m - 12m + 3Combine Like Terms: Combine like terms to get the final simplified product. 4m^2 - m - 12m + 3 = 4m^2 - 13m + 3

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Find the product. Simplify your answer. $\newline$ $(m - 3)(4m - 1)$

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Math Problems

Algebra 1

Multiply two binomials

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Q. Find the product. Simplify your answer.

\newline

(m - 3)(4m - 1)

Apply Distributive Property: Apply the distributive property to multiply $(m - 3)$ by each term in $(4m - 1)$ . $(m - 3)(4m - 1) = m(4m - 1) - 3(4m - 1)$
Simplify $m(4m - 1)$ : Simplify $m(4m - 1)$ . $\newline$ $m(4m - 1) = m(4m) - m(1) = 4m^2 - m$
Simplify $-3(4m - 1)$ : Simplify $-3(4m - 1)$ . $\newline$ $-3(4m - 1) = -3(4m) + 3(1) = -12m + 3$
Combine Simplified Terms: Combine the simplified terms from the previous steps. $\newline$ $(4m^2 - m) + (-12m + 3) = 4m^2 - m - 12m + 3$
Combine Like Terms: Combine like terms to get the final simplified product. $\newline$ $4m^2 - m - 12m + 3 = 4m^2 - 13m + 3$