Answer:
The product is;
x^5+5 x^4+x^3
Step-by-step explanation:
Find the product;
x^3(x2+5x+1)
Step 1: Open the bracket
To open the bracket, we need to multiple the term outsied the bracket (x^3) each of the terms inside the brackets; x2, 5x and 1
This can be done as follows;
(x3×x2)+(x3×5x)+(x3×1)
Step 2: Solve
Since the product of x3 and x2, have the same base x, it can be solved by maintaining the base x and getting the sum of the powers 3 and 2. This can be written as;
x^(3+2)=x^5
To solve the product of 5 x and x^3, we use the same concept as above as shown;
(5 x)×(x^3), adding the powers of x and x^3 as shown;
5 x^(1+3)=5 x^4
In solving the product of x^3 and 1 the answer will just be x^3 since any term multiplied by 1 equals the same term.
In that case;
x^3
Step 3: Put the results of the terms together
(x^5)+5 (x^4)+x^3
This can be further simplified to;
x^5+5 x^4+x^3