# How do you find the product of #(2t^2+t+3)(4t^2+2t-2)#?

##### 1 Answer

#### Answer:

Please see the explanation.

#### Explanation:

The method for performing the multiplication will become obvious when we write it in a form where each term of the first factor multiplies the second factor:

Distribute the first term of the first factor into the second factor:

Distribute the second term of the first factor into the second factor:

Distribute the third term of the first factor into the second factor:

I have aligned the columns so that they can be added:

Because multiplication is commutative, we could have multiplied the first factor by each term of the second factor and obtained the same result.