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

Apply Distributive Property: Apply the distributive property to multiply the two binomials (a - 3) and (4a - 1). Distribute each term in the first binomial to each term in the second binomial. (a - 3)(4a - 1) = a(4a - 1) - 3(4a - 1)Multiply 'a' Terms: Multiply 'a' by each term in the binomial (4a - 1). a(4a - 1) = a * 4a + a * (-1) = 4a^2 - aMultiply '-3' Terms: Multiply '-3' by each term in the binomial (4a - 1). -3(4a - 1) = -3 * 4a + -3 * (-1) = -12a + 3Combine Results: Combine the results from Step 2 and Step 3. (4a^2 - a) + (-12a + 3) = 4a^2 - a - 12a + 3Combine Like Terms: Combine like terms. 4a^2 - a - 12a + 3 = 4a^2 - 13a + 3

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

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

View step-by-step help

Home

Math Problems

Algebra 1

Multiply two binomials

Full solution

Q. Find the product. Simplify your answer.

\newline

(a - 3)(4a - 1)

Apply Distributive Property: Apply the distributive property to multiply the two binomials $(a - 3)$ and $(4a - 1)$ . $\newline$ Distribute each term in the first binomial to each term in the second binomial. $\newline$ $(a - 3)(4a - 1) = a(4a - 1) - 3(4a - 1)$
Multiply 'a' Terms: Multiply $a$ by each term in the binomial $(4a - 1)$ . $\newline$ $a(4a - 1) = a \times 4a + a \times (-1)$ $\newline$ $= 4a^2 - a$
Multiply ' $-3$ ' Terms: Multiply $-3$ by each term in the binomial $(4a - 1)$ . $\newline$ $-3(4a - 1) = -3 \times 4a + -3 \times (-1)$ $\newline$ $= -12a + 3$
Combine Results: Combine the results from Step $2$ and Step $3$ . $\newline$ $(4a^2 - a) + (-12a + 3)$ $\newline$ $= 4a^2 - a - 12a + 3$
Combine Like Terms: Combine like terms. $\newline$ $4a^2 - a - 12a + 3 = 4a^2 - 13a + 3$