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Tatiana Luna
14 September, 10:50
Find the product.
x^3 (x2 + 5x + 1)
+1
Answers (
1
)
Omari Mahoney
14 September, 13:05
0
The product is;
x^5+5 x^4+x^3
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
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