Lin understands that expanding is using the distributive property, but she doesn’t understand what factoring is or why it works. How can Kiran explain factoring to Lin?

Max and brenda went shopping for a table. they found one that they like. the cost is $150.00 but there is a 25% off sale and they need to add 8% to the local sales tax. max multiplied 150 x 0.75 to get the cost. he then multiplied the discounted amount by 1.08 to find the total cost. what was max’s total cost? brenda multiplied 150 x 25% and subtracted that amount from 150. she then multiplied the discounted price by 8%. she added the discounted price and the tax amount together to get the total cost. what was brenda’s total cost? how come the answers are the same?