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

Apply Distributive Property: Apply the distributive property to multiply the two binomials. (4m - 1)(3m - 3) = 4m(3m - 3) - 1(3m - 3)Distribute 4m: Distribute 4m across the terms inside the parentheses. 4m(3m - 3) = 4m * 3m - 4m * 3Perform Multiplication: Perform the multiplication for each term. 4m * 3m = 12m^2 4m * 3 = 12m So, 4m(3m - 3) = 12m^2 - 12mDistribute -1: Distribute -1 across the terms inside the parentheses. -1(3m - 3) = -1 * 3m + 1 * 3Perform Multiplication: Perform the multiplication for each term. -1 * 3m = -3m 1 * 3 = 3 So, -1(3m - 3) = -3m + 3Combine Results: Combine the results from Step 3 and Step 5. (4m - 1)(3m - 3) = (12m^2 - 12m) + (-3m + 3)Combine Like Terms: Combine like terms. 12m^2 - 12m - 3m + 3 = 12m^2 - 15m + 3

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Math Problems

Algebra 1

Multiply two binomials

Full solution

Q. Find the product. Simplify your answer.

\newline

(4m - 1)(3m - 3)

Apply Distributive Property: Apply the distributive property to multiply the two binomials. $\newline$ $(4m - 1)(3m - 3) = 4m(3m - 3) - 1(3m - 3)$
Distribute $4m$ : Distribute $4m$ across the terms inside the parentheses. $\newline$ $4m(3m - 3) = 4m \times 3m - 4m \times 3$
Perform Multiplication: Perform the multiplication for each term. $\newline$ $4m \times 3m = 12m^2$ $\newline$ $4m \times 3 = 12m$ $\newline$ So, $4m(3m - 3) = 12m^2 - 12m$
Distribute $-1$ : Distribute $-1$ across the terms inside the parentheses. $\newline$ $-1(3m - 3) = -1 \times 3m + 1 \times 3$
Perform Multiplication: Perform the multiplication for each term. $\newline$ $-1 \times 3m = -3m$ $\newline$ $1 \times 3 = 3$ $\newline$ So, $-1(3m - 3) = -3m + 3$
Combine Results: Combine the results from Step $3$ and Step $5$ . $\newline$ $(4m - 1)(3m - 3) = (12m^2 - 12m) + (-3m + 3)$
Combine Like Terms: Combine like terms. $\newline$ $12m^2 - 12m - 3m + 3 = 12m^2 - 15m + 3$