Question

weeklyquiz - 12 6.1 - 6.3: problem 2
(1 point)
rewrite the expression ( 7 x ( x + 3 ) + 4 ( x + 3 ) ) by taking out the greatest common factor.
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Explanation:

Step1: Identify the common factor

The common factor in \(7x(x + 3)+4(x + 3)\) is \((x + 3)\).

Step2: Factor out the common factor

Using the distributive property \(ab+ac=a(b + c)\), where \(a=(x + 3)\), \(b = 7x\), and \(c = 4\). So, \(7x(x + 3)+4(x + 3)=(x + 3)(7x+4)\)

Answer:

\((x + 3)(7x + 4)\)