Question

weeklyquiz - 12 6.1 - 6.3: problem 5
(1 point)
factor the expression $x^{2}-6x + dx-6d$. simplify your answer as much as possible.
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Explanation:

Step1: Group the terms

Group the first two terms and the last two terms:
$$(x^{2}-6x)+(dx - 6d)$$

Step2: Factor out the common factors from each group

From the first group \(x^{2}-6x\), factor out \(x\): \(x(x - 6)\)
From the second group \(dx-6d\), factor out \(d\): \(d(x - 6)\)
So the expression becomes \(x(x - 6)+d(x - 6)\)

Step3: Factor out the common binomial factor

Factor out \((x - 6)\) from the expression \(x(x - 6)+d(x - 6)\)
We get \((x + d)(x - 6)\)

Answer:

\((x + d)(x - 6)\)