Questions: Factor xy+8y-3x-24

Factor xy+8y-3x-24
Transcript text: Factor $x y+8 y-3 x-24$
failed

Solution

failed
failed

Solution Steps

To factor the expression \(xy + 8y - 3x - 24\), we can use the method of grouping. First, we group the terms in pairs and factor out the common factors from each pair. Then, we look for a common binomial factor in the resulting expression.

Step 1: Group the Terms

To factor the expression \(xy + 8y - 3x - 24\), we start by grouping the terms in pairs: \[ (xy - 3x) + (8y - 24) \]

Step 2: Factor Out the Common Factors

Next, we factor out the common factors from each pair:

  • From the first pair \(xy - 3x\), factor out \(x\): \[ x(y - 3) \]
  • From the second pair \(8y - 24\), factor out \(8\): \[ 8(y - 3) \]
Step 3: Identify the Common Binomial Factor

Now, we observe that both terms have a common binomial factor \((y - 3)\): \[ x(y - 3) + 8(y - 3) \]

Step 4: Factor Out the Common Binomial

Factor out the common binomial \((y - 3)\): \[ (x + 8)(y - 3) \]

Final Answer

\(\boxed{(x + 8)(y - 3)}\)

Was this solution helpful?
failed
Unhelpful
failed
Helpful

Questions asked by other users

failedAnswered
It will be recharged with another amino acid. It will be removed from the nucleus by mRNA. It will bind to another tRNA molecule.
failedAnswered
Is the following graph a graph of a function?
failedAnswered
Find dy/dx. y=6 x dy/dx=□
failedAnswered
Question 10 1 pts (Section 4.2) Hospital records indicate that 28% of patients have high blood pressure, 26% of patients have diabetes, and 13% have both. What is the probability that a randomly selected patient has high blood pressure or diabetes? 13% 54% 41% 59%
failedAnswered
C. The reaction of NO2(g) and CO(g) is thought to occur in two steps: Step 1 slow NO2(g)+NO2(g) → NO(g)+NO3(g) Step 2 Fast NO3(g)+CO(g)+NO2(g)+CO2(g) What is the molecularity of Step 2? bimolecular termolecular unimolecular (d) The reaction of NO2(g) and CO(g) is thought to occur in two steps: Step 1 Slow NO2(g)+NO2(g) → NO(g)+NO3(g) Step 2 Fast NO3(g)+CO(g) → NO2(g)+CO2(g) For this mechanism to be consistent with kinetic data, what must be the experimental rate equation? rate =k[NO2] rate =k[NO2]^2 rate =k[NO2][CO]