Questions: Factor out the greatest common factor. 2t(u+5v)+9(u+5v)=

Factor out the greatest common factor. 2t(u+5v)+9(u+5v)=
Transcript text: Factor out the greatest common factor. \[ 2 t(u+5 v)+9(u+5 v)= \]
failed

Solution

failed
failed

Solution Steps

To factor out the greatest common factor (GCF) from the given expression, we first identify the common factor in both terms. Here, the common factor is \((u + 5v)\). We then factor out \((u + 5v)\) from the expression.

Step 1: Identify the Common Factor

We start with the expression: \[ 2t(u + 5v) + 9(u + 5v) \] We observe that \((u + 5v)\) is a common factor in both terms.

Step 2: Factor Out the Common Factor

We factor out \((u + 5v)\) from the expression: \[ 2t(u + 5v) + 9(u + 5v) = (2t + 9)(u + 5v) \]

Final Answer

\[ \boxed{(2t + 9)(u + 5v)} \]

Was this solution helpful?
failed
Unhelpful
failed
Helpful

Questions asked by other users

failedAnswered
Which of the following is correct regarding setting the amount of error that a researcher finds acceptable in hypothesis testing: It is difficult to set alpha, so beta is preferable It is difficult to set beta, so alpha is preferable It is easier to set alpha, but beta is preferable It is easier to set beta, but alpha is preferable
failedAnswered
Pizzicato is an indication to the performer to do what? Multiple Choice Veil or muffle the tone by fitting a clamp onto the bridge Pluck the string with the finger instead of using the bow Repeat tones by quick up-and-down strokes of the bow Draw the bow across two strings at the same time
failedAnswered
The bar graph gives the average atmospheric concentration of carbon dioxide. a. Estimate the yearly increase in the average atmospheric concentration of carbon dioxide. Express the answer in parts per million. b. Write a mathematical model that estimates the average atmospheric concentration of carbon dioxide, C, in parts per million, x years after 1950. c. If the trend shown by the data continues, use your mathematical model from part (b) to project the average atmospheric concentration of carbon dioxide in 2025.
failedAnswered
Calculer la longueur manquante dans chacun des triangles les suivants. Si besoin, arrondir le résultats au centième.
failedAnswered
Evaluate the triple integral [ iiintmathbfE x y z d V ] where E is the solid: (0 leq z leq 2), (0 leq y leq z), (0 leq x leq y).