Questions: Multiply and simplify: 5z(2z+5)(z-1) 10z^3+5z

Multiply and simplify: 5z(2z+5)(z-1) 10z^3+5z
Transcript text: Multiply and simplify: \[ \begin{array}{l} 5 z(2 z+5)(z-1) \\ 10 z^{3}+5 z \end{array} \]
failed

Solution

failed
failed

Solution Steps

To solve the problem of multiplying and simplifying the given expression, follow these steps:

  1. Distribute the terms in the expression \(5z(2z+5)(z-1)\).
  2. Simplify the resulting polynomial by combining like terms.
Step 1: Distribute the Terms

Start with the expression \(5z(2z+5)(z-1)\). Distribute \(5z\) across the terms \((2z+5)\) and \((z-1)\).

Step 2: Expand the Expression

First, expand \((2z+5)(z-1)\):

\[ (2z+5)(z-1) = 2z^2 - 2z + 5z - 5 = 2z^2 + 3z - 5 \]

Now, multiply the result by \(5z\):

\[ 5z(2z^2 + 3z - 5) = 10z^3 + 15z^2 - 25z \]

Final Answer

The simplified expression is:

\[ \boxed{10z^3 + 15z^2 - 25z} \]

Was this solution helpful?
failed
Unhelpful
failed
Helpful

Questions asked by other users

failedAnswered
Normally, fibers possess individual characteristics. 1) True 2) False
failedAnswered
The function g is defined below. g(x) = (x^2 - 2x - 48) / (x^2 + 4x - 45) Find all values of x that are NOT in the domain of g. If there is more than one value, separate them with commas. x =
failedAnswered
A collection of bacterial cells, all of which share an overall similar pattern of traits, in contrast to other groups whose patterns differ significantly is called a bacteriat
failedAnswered
The ledger of Kingbird Company at the end of the current year shows Accounts Receivable 80,000, Credit Sales 813,000, and Sales Returns and Allowances 40,000. Prepare journal entries for each separate scenario below. (a) If Kingbird uses the direct write-off method to account for uncollectible accounts, journalize the entry at December 15 if Kingbird determines that Matisse's 1,300 balance is uncollectible. (b) If Allowance for Doubtful Accounts has a credit balance of 1,200 in the trial balance, journalize the adjusting entry at December 31, assuming uncollectibles are expected to be 11% of accounts receivable. (c) If Allowance for Doubtful Accounts has a debit balance of 499 in the trial balance, journalize the adjusting entry at December 31, assuming uncollectibles are expected to be 8% of accounts receivable. (Credit account titles are automatically indented when amount is entered. Do not indent manually. If no entry is required, select "No Entry" for the account titles and enter 0 for the amounts.) No. Date Account Titles and Explanation
failedAnswered
Spanish soldiers defeated the Aztec empire because The Spanish had technological advantages in weaponry. The Spanish exploited divisions among Native Americans. The Aztec empire was weakened by disease. all of the above.