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

Apply Distributive Property: Apply the distributive property to multiply the two binomials. We need to multiply each term in the first binomial by each term in the second binomial. (4h + 3)(h - 1) = 4h(h - 1) + 3(h - 1)Distribute 4h: Distribute 4h across the terms in the second binomial. Multiply 4h by h and then 4h by -1. 4h(h - 1) = 4h * h - 4h * 1 4h(h - 1) = 4h^2 - 4hDistribute 3: Distribute 3 across the terms in the second binomial. Multiply 3 by h and then 3 by -1. 3(h - 1) = 3 * h - 3 * 1 3(h - 1) = 3h - 3Combine Results: Combine the results from Step 2 and Step 3. Add the like terms to simplify the expression. (4h + 3)(h - 1) = (4h^2 - 4h) + (3h - 3) (4h + 3)(h - 1) = 4h^2 - 4h + 3h - 3Combine Like Terms: Combine the like terms in the expression. Combine -4h and 3h to get -1h, or simply -h. 4h^2 - 4h + 3h - 3 = 4h^2 - h - 3

Home

Math Problems

Algebra 1

Multiply two binomials

Full solution

Q. Find the product. Simplify your answer.

\newline

(4h + 3)(h - 1)

Apply Distributive Property: Apply the distributive property to multiply the two binomials. $\newline$ We need to multiply each term in the first binomial by each term in the second binomial. $\newline$ $(4h + 3)(h - 1) = 4h(h - 1) + 3(h - 1)$
Distribute $4h$ : Distribute $4h$ across the terms in the second binomial. $\newline$ Multiply $4h$ by $h$ and then $4h$ by $-1$ . $\newline$ 4h(h - 1) = 4h \times h - 4h \times 1$\newline4h(h - 1) = 4h^2 - 4h$
Distribute $3$ : Distribute $3$ across the terms in the second binomial. $\newline$ Multiply $3$ by $h$ and then $3$ by $-1$ . $\newline$ $3(h - 1) = 3 \times h - 3 \times 1$ $\newline$ $3(h - 1) = 3h - 3$
Combine Results: Combine the results from Step $2$ and Step $3$ . $\newline$ Add the like terms to simplify the expression. $\newline$ $(4h + 3)(h - 1) = (4h^2 - 4h) + (3h - 3)$ $\newline$ $(4h + 3)(h - 1) = 4h^2 - 4h + 3h - 3$
Combine Like Terms: Combine the like terms in the expression. $\newline$ Combine $-4h$ and $3h$ to get $-1h$ , or simply $-h$ . $\newline$ $4h^2 - 4h + 3h - 3 = 4h^2 - h - 3$