How to multiply monomials by polynomials' area model?

Now that we have the area model defined, we can use it to multiply the area of a polynomial by a monomial. For simplicity, let’s consider the multiplication of $x^ax^b$ by $(ax+b)^n$. First, note that $ax+b$ is a polynomial and can be written as $ax+b=a(x+1/a)$. Now, note that $1/a$ is a constant.

How to solve monomials by area model?

You can easily solve monomials by area model if you have a calculator that can solve radical expressions. Most calculators can solve radical expressions without too much difficulty. If you do not have a calculator, you can use the following method. You will need to solve the following two problems.

How to multiply monomials by monomial area model?

The area model for a monomial is the square of the sum of its exponents. This also means that the product of two monomials is just their product of exponents multiplied by their area model.

How to multiply monomials with area model?

The method of multiplication for monomials by polynomials works pretty much the same as for multiplying two polynomials. The only difference is that, in this case, you need to know the area model of the monomial. This is the coefficient of $x^0$ in the monomial’s expansion.

How to do multiplication of monomials by polynomial area model?

You can use polynomial area model to solve this problem. That is, you can use the model to represent the area of a polygon, which is defined as the sum of all its inscribed triangles' areas. Now, in order to represent the multiplication of monomials by polynomial area model, you need to find the sum of all products of each coefficient in the first polynomial by the area of each triangle in the second one. Finally, you will multiply the sum obtained