Questions: Rewrite the expression by factoring out (w-6). 7w(w-6)+(w-6)

Transcript text: Rewrite the expression by factoring out $(w-6)$. \[ 7 w(w-6)+(w-6) \]

Solution

Solution Steps

To factor out $(w-6)$ from the expression $7w(w-6) + (w-6)$, we can observe that $(w-6)$ is a common factor in both terms. We can factor it out by expressing the original expression as $(w-6)(7w + 1)$.

Step 1: Identify the Expression

We start with the expression: \[ 7w(w-6) + (w-6) \]

Step 2: Factor Out the Common Term

Notice that $(w-6)$ is a common factor in both terms of the expression. We can factor it out: \[ 7w(w-6) + (w-6) = (w-6)(7w + 1) \]

Step 3: Write the Factored Form

Thus, the expression can be rewritten in its factored form as: \[ (w-6)(7w + 1) \]

Final Answer

The factored expression is $\boxed{(w-6)(7w + 1)}$.

Was this solution helpful?

Unhelpful

Helpful

Questions asked by other users

< Previous Next >