Find the product. Simplify your answer. (4c + 2)(3c - 2) ______

Identify Problem Structure: Identify the structure of the problem. We are asked to find the product of two binomials, (4c + 2) and (3c - 2). This is a multiplication problem involving two binomials.Apply Distributive Property: Apply the distributive property (also known as the FOIL method) to multiply the two binomials. (4c + 2)(3c - 2) = 4c * 3c + 4c * (-2) + 2 * 3c + 2 * (-2)Perform Multiplication for Each Term: Perform the multiplication for each term. 4c * 3c = 12c^2 4c * (-2) = -8c 2 * 3c = 6c 2 * (-2) = -4Combine Like Terms: Combine like terms. 12c^2 + (-8c) + 6c + (-4) = 12c^2 - 8c + 6c - 4Simplify Expression: Simplify the expression by combining the c terms. 12c^2 - 8c + 6c - 4 = 12c^2 - 2c - 4

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Find the product. Simplify your answer. $\newline$ $(4c + 2)(3c - 2)$

View step-by-step help

Home

Math Problems

Algebra 1

Multiply two binomials: special cases

Full solution

Q. Find the product. Simplify your answer.

\newline

(4c + 2)(3c - 2)

Identify Problem Structure: Identify the structure of the problem. $\newline$ We are asked to find the product of two binomials, $(4c + 2)$ and $(3c - 2)$ . $\newline$ This is a multiplication problem involving two binomials.
Apply Distributive Property: Apply the distributive property (also known as the FOIL method) to multiply the two binomials. $\newline$ $(4c + 2)(3c - 2) = 4c \times 3c + 4c \times (-2) + 2 \times 3c + 2 \times (-2)$
Perform Multiplication for Each Term: Perform the multiplication for each term. $\newline$ $4c \times 3c = 12c^2$ $\newline$ $4c \times (-2) = -8c$ $\newline$ $2 \times 3c = 6c$ $\newline$ $2 \times (-2) = -4$
Combine Like Terms: Combine like terms. $\newline$ $12c^2 + (-8c) + 6c + (-4) = 12c^2 - 8c + 6c - 4$
Simplify Expression: Simplify the expression by combining the c terms. $12c^2 - 8c + 6c - 4 = 12c^2 - 2c - 4$