Question Video: Using an Area Model to Multiply Polynomials | Nagwa Question Video: Using an Area Model to Multiply Polynomials | Nagwa

Question Video: Using an Area Model to Multiply Polynomials

Use an area model to write an expression equivalent to (π + π)Β².

01:38

Video Transcript

Use an area model to write an expression equivalent to π plus π all squared.

The length and width of our area model π plus π has been split into π and π. We know that in order to calculate the area of a rectangle, we multiply the length by the width. We will do this for all four sections of the area model.

To calculate the area of the top-left section, we multiply π by π. This section is actually a square, and its area is π squared. We can calculate the area of the top-right section by multiplying π by π. This is equal to ππ. The bottom-left section has the same area, as once again weβre multiplying π by π or π by π. This is equal to ππ. Finally, the bottom-right section is another square with side length π. π multiplied by π is equal to π squared.

We can then work out the total area by summing these four terms. We need to add π squared, ππ, ππ, and π squared. Collecting our like terms gives us two ππ. π plus π all squared is therefore equivalent to π squared plus two ππ plus π squared.

Join Nagwa Classes

Attend live sessions on Nagwa Classes to boost your learning with guidance and advice from an expert teacher!

• Interactive Sessions
• Chat & Messaging
• Realistic Exam Questions