Question

use the area model at the left (box method) to multiply out the following binomials. after you multiply everything out in the box, then write your final answer below after you combine your like terms! (2x - 3)(6x - 5)

Explanation:

Step1: Fill the box with products

Multiply each row entry with column entry:

• For \(2x\) and \(6x\): \(2x\times6x = 12x^2\)
• For \(2x\) and \(-5\): \(2x\times(-5)= -10x\)
• For \(-3\) and \(6x\): \(-3\times6x = -18x\)
• For \(-3\) and \(-5\): \(-3\times(-5)=15\)

Step2: Combine like terms

Sum all the products: \(12x^2-10x - 18x+15\)
Combine the \(x\)-terms: \(-10x-18x=-28x\)
So the expression becomes \(12x^2 - 28x + 15\)

Answer:

\(12x^2 - 28x + 15\)