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rewrite the expression by factoring out (u + 6). 3u²(u + 6) + 5(u + 6)

Question

rewrite the expression by factoring out (u + 6). 3u²(u + 6) + 5(u + 6)

Explanation:

Step1: Identify common factor

Both terms have \((u + 6)\) as a factor.

Step2: Factor out \((u + 6)\)

Using the distributive property \(ab+ac=a(b + c)\), where \(a=(u + 6)\), \(b = 3u^{2}\), and \(c = 5\), we get \((u + 6)(3u^{2}+5)\).

Answer:

\((u + 6)(3u^{2}+5)\)