Algebra Help?

Question

Simplify each expression: 
1. (3xy^3)(2x^3y) 


2. (x^2+2x+3)(x^2-2x-2)

Answer 1

(1)

Step 1 :

The Algebraic expression is : .

consider .

Rewrite the equation so that the like terms are arranged in groups.

Multiplying power with same base rule : .

Power of a product property : .

Solution :

.

Answer 2

(2)

Step 1 :

The Algebraic expression is : .

First, split the expression by multiplying each term in the left polynomial by the entire second polynomial.

Distribute terms using distributive property: .

Multiplying power with same base rule : .

Simplifying the above equation.

Solution :

.