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

Apply Distributive Property: We need to apply the distributive property to multiply the two binomials (4d + 3) and (d - 1). (4d + 3)(d - 1) = 4d(d - 1) + 3(d - 1)Distribute 4d: Now, distribute 4d to both terms in the binomial (d - 1). 4d(d - 1) = 4d * d - 4d * 1 = 4d^2 - 4dDistribute 3: Next, distribute 3 to both terms in the binomial (d - 1). 3(d - 1) = 3 * d - 3 * 1 = 3d - 3Combine Results: Combine the results from the previous two steps. (4d + 3)(d - 1) = 4d^2 - 4d + 3d - 3Combine Like Terms: Combine like terms by adding the coefficients of d. 4d^2 - 4d + 3d - 3 = 4d^2 - (4d - 3d) - 3 = 4d^2 - d - 3

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

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Math Problems

Algebra 1

Multiply two binomials

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Q. Find the product. Simplify your answer.

\newline

(4d + 3)(d - 1)

Apply Distributive Property: We need to apply the distributive property to multiply the two binomials $(4d + 3)$ and $(d - 1)$ . $(4d + 3)(d - 1) = 4d(d - 1) + 3(d - 1)$
Distribute $4d$ : Now, distribute $4d$ to both terms in the binomial $(d - 1)$ . $\newline$ $4d(d - 1) = 4d \cdot d - 4d \cdot 1$ $\newline$ $= 4d^2 - 4d$
Distribute $3$ : Next, distribute $3$ to both terms in the binomial $(d - 1)$ . $3(d - 1) = 3 \times d - 3 \times 1$ $= 3d - 3$
Combine Results: Combine the results from the previous two steps. $\newline$ $(4d + 3)(d - 1) = 4d^2 - 4d + 3d - 3$
Combine Like Terms: Combine like terms by adding the coefficients of $d$ . $4d^2 - 4d + 3d - 3 = 4d^2 - (4d - 3d) - 3$ $= 4d^2 - d - 3$